{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Hidden Markov Model with Gaussian-distributed observed variables\n",
    "\n",
    "The aim of this notebook is to implement the EM algorithm of an HMM with multinomial latent variable and Gaussian-distributed observed variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 709,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import requests\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import random, randn, seed\n",
    "from scipy.stats import norm\n",
    "from io import StringIO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 417,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let ${\\bf X}=\\{{\\bf x}_n \\vert {\\bf x}_n \\in \\mathbb{R}^M\\}_{n=1}^N$ be an sequential dataset of observed variables. We define a Hidden Markov Model (HMM) by introducing a set of unobserved (latent) variables ${\\bf Z}=\\{{\\bf z}_n\\}_{n=1}^N$. We define the relationship between ${\\bf X}$ and ${\\bf Z}$ as the following graph:\n",
    "\n",
    "![Hidden Markov Model](https://imgur.com/1YC0iu0.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The joint distribution of an HMM is given by\n",
    "\n",
    "$$\n",
    "    p({\\bf x}_1, \\ldots, {\\bf x}_n, {\\bf z}_1, {\\bf z}_N) = p({\\bf z}_1)\\prod_{n=1}^N p({\\bf z}_n\\vert {\\bf z}_{n-1})\\prod_{n=1}^N p({\\bf x}_n \\vert {\\bf z}_n)\n",
    "$$\n",
    "\n",
    "---\n",
    "\n",
    "Where the initial state is given by\n",
    "\n",
    "$$\n",
    "    p({\\bf z}_1\\vert\\boldsymbol\\pi) = \\prod_{k=1}^K \\pi_k^{z_{1k}}\n",
    "$$\n",
    "\n",
    "the *emission* probabilities are given by\n",
    "\n",
    "$$\n",
    "p({\\bf x}_n\\vert {\\bf z}_n, \\boldsymbol\\phi) = \\prod_{k=1}^K p({\\bf x}_n\\vert\\phi_k)^{z_{nk}} = \\prod_{k=1}^K \\left(\\mathcal{N}({\\bf x}_n\\vert \\boldsymbol\\mu_k, \\boldsymbol\\Sigma_k)\\right)^{z_{nk}}\n",
    "$$\n",
    "\n",
    "and the *transition* probabilities are given by\n",
    "\n",
    "$$\n",
    "    p({\\bf z}_n \\vert {\\bf z}_{n-1}) = \\prod_{k=1}^K\\prod_{j=1}^K A_{jk}^{z_{n-1,j},z_{nk}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HMM via the EM algorithm\n",
    "\n",
    "In order to find the values $\\boldsymbol\\theta = \\{\\boldsymbol\\pi, A, \\boldsymbol\\phi\\}$, we make use of the EM algorithm. We perform a step of the EM algorith for an HMM as follows:\n",
    "\n",
    "* **E-Step**: Compute $p({\\bf Z}\\vert{\\bf X}, \\boldsymbol\\theta)$\n",
    "* **M-Step**: Find $\\boldsymbol\\theta^{\\text{new}}=\\arg\\max_{\\boldsymbol\\theta} Q(\\boldsymbol\\theta, \\boldsymbol\\theta^{\\text{old}})= \\arg\\max_{\\boldsymbol\\theta} \\mathbb{E}_{{\\bf z}\\vert {\\bf X}, \\boldsymbol\\theta^{\\text{old}} }[\\log p({\\bf X}, {\\bf Z} \\vert \\boldsymbol\\theta)]$.\n",
    "\n",
    "----\n",
    "\n",
    "By writing the expected complete-data log-likelihood, we obtain an expression of the form\n",
    "\n",
    "$$\n",
    "   Q(\\boldsymbol\\theta, \\boldsymbol\\theta^{\\text{old}}) = \\sum_{k=1}^K \\log\\pi_k \\gamma(z_{1k}) + \\sum_{n=2}^N\\sum_{j=1}^K\\sum_{k=1}^K \\xi(z_{n-1,j}, z_{n,k}) \\log A_{jk} + \\sum_{n=1}^N\\sum_{k=1}^K \\log p({\\bf x}_n\\vert\\phi_k) \\gamma(z_{nk})\n",
    "$$\n",
    "\n",
    "With updating equations\n",
    "\n",
    "\n",
    "### E-Step\n",
    "\n",
    "* $\\gamma(z_{nk}) = \\mathbb{E}[z_{nk}]$\n",
    "* $\\xi(z_{n-1,j}, z_{n,k}) = \\mathbb{E}[z_{n-1, j} \\cdot z_{n,k}]$\n",
    "\n",
    "### M-Step\n",
    "\n",
    "The M-step updating equations become\n",
    "\n",
    "$$\n",
    "    \\pi_k = \\frac{\\gamma(z_{1k})}{\\sum_{j=1}^K \\gamma(z_{1j})}\n",
    "$$\n",
    "\n",
    "\n",
    "$$\n",
    "    A_{jk} = \\frac{\\sum_{n=2}^N \\xi(z_{n-1, k}, z_{nk})}{\\sum_{l=1}^K\\sum_{n=2}^N \\xi(z_{n-1, k}, z_{nl})}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidePrompt": true
   },
   "source": [
    "To compute $\\forall n,k,k:\\gamma(z_{nk}), \\xi(z_{n-1, j}, z_{nk})$, we require to obtain the values for\n",
    "\n",
    "$$\n",
    "    \\gamma({\\bf z}_n) = \\frac{ \\alpha({\\bf z}_n)\\beta({\\bf z}_n) }{p({\\bf X})}\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\xi({\\bf z}_{n-1}, {\\bf z}_n) = \\frac{\\alpha({\\bf z}_{n-1}) p({\\bf x}_n\\vert {\\bf z}_n) p({\\bf z}_{n-1}\\vert {\\bf z}_n) \\beta({\\bf z}_n)}{p({\\bf X})}\n",
    "$$\n",
    "\n",
    "\n",
    "Where $\\alpha({\\bf z}_n)$ and $\\beta({\\bf z})$ are recursive relations of the form\n",
    "\n",
    "$$\n",
    "    \\alpha({\\bf z}_n) = p({\\bf x}_n\\vert{\\bf z}_n)\\sum_{{\\bf z}_{n-1}} \\alpha({\\bf z}_{n-1})p({\\bf z}_n\\vert {\\bf z}_{n-1})\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\beta({\\bf z}_n) = \\sum_{{\\bf z}_{n+1}} p({\\bf x}_{n+1}\\vert{\\bf z}_{n+1})p({\\bf z}_{n+1} \\vert {\\bf z}_n)\n",
    "$$\n",
    "\n",
    "\n",
    "With initial conditions\n",
    "\n",
    "* $\\alpha(z_{1k}) = \\pi_k p(x_1\\vert\\phi_k)$\n",
    "* $\\beta(z_{Nk}) = 1$\n",
    "\n",
    "$\\alpha$ and $\\beta$ are respectively known as the *Forward Message Passing* and *Backwards Message Passing*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1011,
   "metadata": {},
   "outputs": [],
   "source": [
    "initial_probs = np.array([0.2, 0.2, 0.6])\n",
    "\n",
    "# transition matrix\n",
    "A = np.array([\n",
    "    [0.9, 0.05, 0.05],\n",
    "    [0.05, 0.9, 0.05],\n",
    "    [0.05, 0.05, 0.9]\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1012,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma_collection = np.sqrt(np.array([0.1, 0.1, 0.3]))\n",
    "mu_collection = np.array([-3, 0, 5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creating an HMM dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1015,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ==All together==\n",
    "np.random.seed(314)\n",
    "n_samples = 800\n",
    "z = np.array([0, 1, 2])\n",
    "\n",
    "# Initial latent variable\n",
    "zi = np.random.choice(z, p=initial_probs)\n",
    "samples = np.zeros((n_samples))\n",
    "for i in range(n_samples):\n",
    "    N = norm(mu_collection[zi], sigma_collection[zi])\n",
    "    samples[i] = N.rvs()\n",
    "    zi = np.random.choice(z, p=A[zi])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1016,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 705
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(samples);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1017,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = pd.DataFrame({\"obs\": samples})[\"obs\"]\n",
    "N = len(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The E-Step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1018,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(314)\n",
    "\n",
    "K = 3\n",
    "# initial parameters for the latent variables\n",
    "pi = random(K)\n",
    "pi = pi / pi.sum()\n",
    "A = random((K, K))\n",
    "A = A / A.sum(axis=1, keepdims=True)\n",
    "\n",
    "# Initial parameters for the observed distribution\n",
    "mus = random(K)\n",
    "sigmas = random(K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1019,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fdfc176d6d0>]"
      ]
     },
     "execution_count": 1019,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Simulation before parameter learning\n",
    "z = np.arange(K)\n",
    "\n",
    "seed(314)\n",
    "n_samples = 500\n",
    "samples = np.zeros(n_samples)\n",
    "zi = np.random.choice(z, p=pi)\n",
    "\n",
    "for n in range(n_samples):\n",
    "    Nx = norm(loc=mus[zi], scale=sigmas[zi])\n",
    "    samples[n] = Nx.rvs()\n",
    "    \n",
    "    zi = np.random.choice(z, p=A[zi])\n",
    "\n",
    "plt.plot(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Forward message-passsing\n",
    "\n",
    "$$\n",
    "    \\alpha({\\bf z}_n) = p({\\bf x}_n\\vert{\\bf z}_n)\\sum_{{\\bf z}_{n-1}} \\alpha({\\bf z}_{n-1})p({\\bf z}_n\\vert {\\bf z}_{n-1})\n",
    "$$\n",
    "\n",
    "* $\\alpha(z_{1k}) = \\pi_k p(x_1\\vert\\phi_k)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1020,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nx = norm(loc=mus, scale=sigmas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1021,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial \"message\"\n",
    "a1 = pi * Nx.pdf(X.iloc[0])\n",
    "\n",
    "# Second \"message\"\n",
    "a2 = Nx.pdf(X.iloc[1]) * (a1[:, None] * A).sum(axis=0)\n",
    "\n",
    "# third message\n",
    "a3 = Nx.pdf(X.iloc[2]) * (a2[:, None] * A).sum(axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general, we can write the forward message passing as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1022,
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha_values = np.zeros((N, K))\n",
    "\n",
    "for n, (_, xn) in enumerate(X.iteritems()):\n",
    "    if n == 0:\n",
    "        an = pi * Nx.pdf(xn)\n",
    "    else:\n",
    "        an = Nx.pdf(xn) * (an[:, None] * A).sum(axis=0)\n",
    "    alpha_values[n] = an"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Backward message-passsing\n",
    "\n",
    "$$\n",
    "    \\beta({\\bf z}_n) = \\sum_{{\\bf z}_{n+1}} \\beta({\\bf z}_{n+1})  p({\\bf x}_{n+1}\\vert{\\bf z}_{n+1}) p({\\bf z}_{n+1}\\vert {\\bf z}_{n})\n",
    "$$\n",
    "\n",
    "* $\\beta(z_{Nk}) = 1$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1023,
   "metadata": {},
   "outputs": [],
   "source": [
    "# final message\n",
    "b1 = np.ones(K)\n",
    "\n",
    "# final - 1 message\n",
    "b2 = (b1 * Nx.pdf(X.iloc[-2]) * A).sum(axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general, we can write the backward message passing as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1024,
   "metadata": {},
   "outputs": [],
   "source": [
    "beta_values = np.zeros((N, K))\n",
    "\n",
    "for n, (_, xn) in enumerate(X[::-1].shift(1).iteritems()):\n",
    "    if n == 0:\n",
    "        bn = 1\n",
    "    else:\n",
    "        bn = (bn * Nx.pdf(xn) * A).sum(axis=1)\n",
    "    \n",
    "    beta_values[n] = bn\n",
    "\n",
    "beta_values = beta_values[::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1025,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       ...,\n",
       "       [5.30143080e-21, 7.77425214e-21, 3.28820215e-21],\n",
       "       [1.43441074e-10, 2.10348322e-10, 8.89690470e-11],\n",
       "       [1.00000000e+00, 1.00000000e+00, 1.00000000e+00]])"
      ]
     },
     "execution_count": 1025,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta_values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The likelihood $p(X)$\n",
    "\n",
    "Once obtained $\\forall n: \\alpha({\\bf z}_n), \\beta({\\bf z}_n)$, we can compute the likelihood $p({\\bf X})$ in the form\n",
    "\n",
    "$$\n",
    "    p({\\bf X}) = \\sum_{{\\bf z}_n} \\alpha({\\bf z}_n) \\beta({\\bf z}_n)\n",
    "$$\n",
    "\n",
    "Or, more specifically,\n",
    "\n",
    "$$\n",
    "    p({\\bf X}) = \\sum_{{\\bf z}_N} \\alpha({\\bf z}_N)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1026,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 1026,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alpha_values[-1].sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1027,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 1027,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(alpha_values[2] * beta_values[2]).sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1028,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 1028,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(alpha_values[100] * beta_values[100]).sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1029,
   "metadata": {},
   "outputs": [],
   "source": [
    "likelihood = alpha_values[-1].sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $\\gamma$, $\\xi$ values\n",
    "\n",
    "With $\\alpha({\\bf z}_n)$, $\\beta({\\bf z}_n)$, and $p({\\bf X})$, we can write \n",
    "\n",
    "$$\n",
    "    \\gamma({\\bf z}_n) = \\frac{\\alpha({\\bf z}_n) \\beta({\\bf z}_n)}{p({\\bf X})}\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\xi({\\bf z}_{n-1}, {\\bf z}_n) = \\frac{\\alpha({\\bf z}_{n-1}) p({\\bf x}_n\\vert {\\bf z}_n) p({\\bf z}_n\\vert {\\bf z}_{n-1})\\beta({\\bf z}_n)}{p(\\bf X)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# p(xn|zn) # to-do: optimize for-loop\n",
    "p_xz = np.r_[[Nx.pdf(x) for x in X]]\n",
    "\n",
    "gamma = alpha_values * beta_values / likelihood\n",
    "xi = (alpha_values[:-1][..., None] * p_xz[1:, None, :] * A[None, ...] * beta_values[1:, None, :]) / likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 438,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[nan, nan, nan],\n",
       "       [nan, nan, nan],\n",
       "       [nan, nan, nan],\n",
       "       ...,\n",
       "       [nan, nan, nan],\n",
       "       [nan, nan, nan],\n",
       "       [nan, nan, nan]])"
      ]
     },
     "execution_count": 438,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gamma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidePrompt": true
   },
   "source": [
    "## The M-step\n",
    "\n",
    "Once obtained the values $\\gamma({\\bf z}_n)$ and $\\xi({\\bf z}_{n-1}, {\\bf z}_n)$, we proceed by updating our parameters $\\pi_k$, $A_{jk}$, $\\boldsymbol\\mu_k$, $\\boldsymbol\\Sigma_k$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Latent parameters update\n",
    "---\n",
    "\n",
    "#### Updating $\\pi_k$\n",
    "\n",
    "The updating equation for $\\pi_k$ take the form\n",
    "\n",
    "$$\n",
    "    \\pi_k = \\frac{\\gamma(z_{1k})}{\\sum_{j=1}^K \\gamma(z_{1j})}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 439,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([nan, nan, nan])"
      ]
     },
     "execution_count": 439,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Note that Bishop makes the summation explicit, but there is\n",
    "# no need for this, as γ(nk) is a pmf for fixed n and varying k\n",
    "pi = gamma[0] / gamma[0].sum()\n",
    "pi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Updating $A_{jk}$\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "$$\n",
    "    A_{jk} = \\frac{\\sum_{n=2}^N \\xi(z_{n-1, k}, z_{nk})}{\\sum_{l=1}^K\\sum_{n=2}^N \\xi(z_{n-1, k}, z_{nl})}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 440,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[nan, nan, nan],\n",
       "       [nan, nan, nan],\n",
       "       [nan, nan, nan]])"
      ]
     },
     "execution_count": 440,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = xi.sum(axis=0) / xi.sum(axis=0).sum(axis=1, keepdims=True)\n",
    "A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Observed variables' parameters update\n",
    "---\n",
    "\n",
    "#### Updating $\\mu_k$\n",
    "\n",
    "The updating equation for $\\mu_k$ take the form\n",
    "\n",
    "$$\n",
    "    \\mu_{ik} = \\frac{\\sum_{n=1}^N \\gamma(z_{nk}) {\\bf x}_n}{\\sum_{n=1}^N \\gamma(z_{nk})}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 441,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([nan, nan, nan])"
      ]
     },
     "execution_count": 441,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mus = (gamma* X[:, None]).sum(axis=0) / gamma.sum(axis=0)\n",
    "mus"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Updating $\\Sigma_k$\n",
    "\n",
    "$$\n",
    "    \\Sigma_{k} = \\frac{\\sum_{n=1}^N \\gamma(z_{nk}) ({\\bf x}_n - \\mu_k)({\\bf x}_n - \\mu_k)^T}{\\sum_{n=1}^N \\gamma(z_{nk})}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 442,
   "metadata": {},
   "outputs": [],
   "source": [
    "diff = X[:, None] - mus[None, :]\n",
    "# The generalized version of this computation can be written in the form\n",
    "sigmas = np.einsum(\"ni,nik,nil->i\", gamma, diff[..., None], diff[..., None]) / gamma.sum(axis=0)\n",
    "# for x in R, this is the same as\n",
    "sigmas = (gamma * diff ** 2).sum(axis=0) / gamma.sum(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 443,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "probabilities contain NaN",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-443-3d51cda4d6e9>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mn_samples\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m500\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0msamples\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn_samples\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mzi\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mchoice\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mpi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mn\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn_samples\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32mmtrand.pyx\u001b[0m in \u001b[0;36mnumpy.random.mtrand.RandomState.choice\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: probabilities contain NaN"
     ]
    }
   ],
   "source": [
    "# Simulation before parameter learning\n",
    "z = np.arange(K)\n",
    "\n",
    "seed(314)\n",
    "n_samples = 500\n",
    "samples = np.zeros(n_samples)\n",
    "zi = np.random.choice(z, p=pi)\n",
    "\n",
    "for n in range(n_samples):\n",
    "    Nx = norm(loc=mus[zi], scale=sigmas[zi])\n",
    "    samples[n] = Nx.rvs()\n",
    "    \n",
    "    zi = np.random.choice(z, p=A[zi])\n",
    "\n",
    "plt.plot(samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The next round\n",
    "\n",
    "The next round of the EM algorithm suffers the fact that the $\\alpha$-terms become exponentially small."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 445,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gerardoduran/miniconda3/lib/python3.7/site-packages/scipy/stats/_distn_infrastructure.py:1761: RuntimeWarning: invalid value encountered in greater\n",
      "  cond0 = self._argcheck(*args) & (scale > 0)\n",
      "/Users/gerardoduran/miniconda3/lib/python3.7/site-packages/scipy/stats/_distn_infrastructure.py:1762: RuntimeWarning: invalid value encountered in greater\n",
      "  cond1 = self._support_mask(x, *args) & (scale > 0)\n"
     ]
    }
   ],
   "source": [
    "Nx = norm(loc=mus, scale=sigmas)\n",
    "alpha_values = np.zeros((N, K))\n",
    "\n",
    "for n, (_, xn) in enumerate(X.iteritems()):\n",
    "    if n == 0:\n",
    "        an = pi * Nx.pdf(xn)\n",
    "    else:\n",
    "        an = Nx.pdf(xn) * (an[:, None] * A).sum(axis=0)\n",
    "    if np.isinf(an).any():\n",
    "        break\n",
    "    alpha_values[n] = an"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 365,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.08531692e-02, 0.00000000e+00, 1.22985889e-03],\n",
       "       [6.66441774e-06, 1.95612228e-10, 1.97851922e-03],\n",
       "       [2.24847564e-45, 0.00000000e+00, 3.55114145e-04],\n",
       "       ...,\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00]])"
      ]
     },
     "execution_count": 365,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alpha_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 366,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0.])"
      ]
     },
     "execution_count": 366,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alpha_values[n-2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 367,
   "metadata": {},
   "outputs": [],
   "source": [
    "beta_values = np.zeros((N, K))\n",
    "\n",
    "for n, (_, xn) in enumerate(X[::-1].shift(1).iteritems()):\n",
    "    if n == 0:\n",
    "        bn = 1\n",
    "    else:\n",
    "        bn = (bn * Nx.pdf(xn) * A).sum(axis=1)\n",
    "    \n",
    "    beta_values[n] = bn\n",
    "\n",
    "beta_values = beta_values[::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 368,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.        , 0.        ],\n",
       "       [0.        , 0.        , 0.        ],\n",
       "       [0.        , 0.        , 0.        ],\n",
       "       ...,\n",
       "       [0.03305527, 0.04922976, 0.02358615],\n",
       "       [0.23122763, 0.34439001, 0.1649903 ],\n",
       "       [1.        , 1.        , 1.        ]])"
      ]
     },
     "execution_count": 368,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta_values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Handling small coefficients\n",
    "\n",
    "The normalized version of $\\alpha$ takes the form\n",
    "\n",
    "$$\n",
    "    \\hat\\alpha({\\bf z}_n) = \\frac{\\alpha({\\bf z}_n)}{p({\\bf x}_1, \\ldots, {\\bf x}_n)}\n",
    "$$\n",
    "\n",
    "Introducing scaling factors of the form\n",
    "\n",
    "$$\n",
    "    c_n = p({\\bf x}_n \\vert {\\bf x}_1, \\ldots, {\\bf x}_{n-1}),\n",
    "$$\n",
    "\n",
    "we see that\n",
    "\n",
    "$$\n",
    "    p({\\bf x}_1, \\ldots, {\\bf x}_n) = \\prod_{m=1}^n c_m\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1141,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(3141)\n",
    "\n",
    "K = 3\n",
    "# initial parameters for the latent variables\n",
    "pi = random(K)\n",
    "pi = pi / pi.sum()\n",
    "A = random((K, K))\n",
    "A = A / A.sum(axis=1, keepdims=True)\n",
    "\n",
    "# Initial parameters for the observed distribution\n",
    "mus, sigmas = randn(K) * 3, np.sqrt(random(K)) * 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1142,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nx = norm(loc=mus, scale=sigmas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1143,
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha_hat_values = np.zeros((N, K))\n",
    "c_terms = np.zeros(N)\n",
    "\n",
    "for n, (_, xn) in enumerate(X.iteritems()):\n",
    "    if n == 0:\n",
    "        ahat_n = pi * Nx.pdf(xn)\n",
    "    else:\n",
    "        ahat_n = Nx.pdf(xn) * (ahat_n[:, None] * A).sum(axis=0)\n",
    "        \n",
    "    cn = ahat_n.sum()    \n",
    "    ahat_n = ahat_n / cn\n",
    "    alpha_hat_values[n] = ahat_n\n",
    "    c_terms[n] = cn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.05013864, 0.04433531, 0.04891871])"
      ]
     },
     "execution_count": 1144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Nx.pdf(xn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1145,
   "metadata": {},
   "outputs": [],
   "source": [
    "beta_hat_values = np.zeros((N, K))\n",
    "\n",
    "for n, (_, xn) in enumerate(X[::-1].shift(1).iteritems()):\n",
    "    cn = c_terms[-n]\n",
    "    if n == 0:\n",
    "        bhat_n = 1 \n",
    "    else:\n",
    "        bhat_n = (bhat_n * Nx.pdf(xn) * A).sum(axis=1) / cn\n",
    "    \n",
    "    beta_hat_values[n] = bhat_n \n",
    "\n",
    "beta_hat_values = beta_hat_values[::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1146,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_xz = np.r_[[Nx.pdf(x) for x in X]]\n",
    "gamma = alpha_hat_values * beta_hat_values\n",
    "\n",
    "xi = (1\n",
    "    / c_terms[1:, None, None]\n",
    "    * alpha_hat_values[:-1][..., None]\n",
    "    * p_xz[1:, None, :]\n",
    "    * A[None, ...]\n",
    "    * beta_hat_values[1:, None, :])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1265,
   "metadata": {},
   "outputs": [],
   "source": [
    "class GHMM:\n",
    "    \"\"\"\n",
    "    Naïve implementation of a Hidden Markov Model\n",
    "    with univariate Gaussian distribution\n",
    "    \"\"\"\n",
    "    def __init__(self, X, K, pi_init=None, A_init=None,\n",
    "                 mus_init=None, sigmas_init=None,\n",
    "                 random_state=None):\n",
    "        self._X = X\n",
    "        self._N = len(X)\n",
    "        self._K = K\n",
    "        self.random_state = random_state\n",
    "        self.pi, self.A = self.init_latent_params(pi_init, A_init)\n",
    "        self.mus, self.sigmas = self.init_observed_params(mus_init, sigmas_init)\n",
    "        self.p_dist = norm(loc=self.mus, scale=self.sigmas)\n",
    "    \n",
    "    \n",
    "    @property\n",
    "    def K(self):\n",
    "        return self._K\n",
    "    \n",
    "    \n",
    "    @property\n",
    "    def X(self):\n",
    "        return self._X\n",
    "    \n",
    "    @property\n",
    "    def N(self):\n",
    "        return self._N\n",
    "    \n",
    "    \n",
    "    def init_latent_params(self, pi, A):\n",
    "        seed(self.random_state)\n",
    "        if pi is None:\n",
    "            pi = random(self.K)\n",
    "            pi = pi / pi.sum()\n",
    "        if A is None:\n",
    "            A = random((K, K))\n",
    "            A = A / A.sum(axis=1, keepdims=True)\n",
    "        \n",
    "        return pi, A\n",
    "    \n",
    "    \n",
    "    def init_observed_params(self, mus, sigmas):\n",
    "        seed(self.random_state)\n",
    "        if mus is None:\n",
    "            mus = randn(K)\n",
    "        if sigmas is None:\n",
    "            sigmas = random(K)\n",
    "        \n",
    "        return mus, sigmas\n",
    "    \n",
    "    \n",
    "    def compute_alpha_hat(self):\n",
    "        alpha_hat_values = np.zeros((self.N, self.K))\n",
    "        c_terms = np.zeros(self.N)\n",
    "\n",
    "        for n, (_, xn) in enumerate(self.X.iteritems()):\n",
    "            if n == 0:\n",
    "                ahat_n = self.pi * self.p_dist.pdf(xn)\n",
    "            else:\n",
    "                ahat_n = self.p_dist.pdf(xn) * (ahat_n[:, None] * self.A).sum(axis=0)\n",
    "\n",
    "            cn = ahat_n.sum()\n",
    "            ahat_n = ahat_n / cn\n",
    "            alpha_hat_values[n] = ahat_n\n",
    "            c_terms[n] = cn\n",
    "\n",
    "        return alpha_hat_values, c_terms\n",
    "    \n",
    "\n",
    "    def compute_beta_hat(self, c_terms):\n",
    "        beta_hat_values = np.zeros((self.N, self.K))\n",
    "        for n, (_, xn) in enumerate(self.X[::-1].shift(1).iteritems()):\n",
    "            cn = c_terms[-n]\n",
    "            if n == 0:\n",
    "                bhat_n = 1 \n",
    "            else:\n",
    "                bhat_n = (bhat_n * self.p_dist.pdf(xn) * self.A).sum(axis=1) / cn\n",
    "\n",
    "            bhat_n = bhat_n \n",
    "            beta_hat_values[n] = bhat_n \n",
    "\n",
    "        beta_hat_values = beta_hat_values[::-1]\n",
    "\n",
    "        return beta_hat_values\n",
    "\n",
    "    \n",
    "    def e_step(self):\n",
    "        alpha_hat_values, c_terms = self.compute_alpha_hat()\n",
    "        beta_hat_values = self.compute_beta_hat(c_terms)\n",
    "        p_xz = np.r_[[self.p_dist.pdf(x) for x in self.X]]\n",
    "        gamma = alpha_hat_values * beta_hat_values\n",
    "\n",
    "        xi = (1\n",
    "            / c_terms[1:, None, None]\n",
    "            * alpha_hat_values[:-1][..., None]\n",
    "            * p_xz[1:, None, :]\n",
    "            * self.A[None, ...]\n",
    "            * beta_hat_values[1:, None, :])\n",
    "\n",
    "        return gamma, xi, c_terms\n",
    "\n",
    "    \n",
    "    def m_step(self, gamma, xi):\n",
    "        gamma, xi, _ = self.e_step()\n",
    "        # Update latent model parameters\n",
    "        pi = gamma[0] / gamma[0].sum()\n",
    "        A = xi.sum(axis=0) / xi.sum(axis=0).sum(axis=-1, keepdims=True)\n",
    "        # Update observed model parameters\n",
    "        mus = (gamma* X[:, None]).sum(axis=0) / gamma.sum(axis=0)\n",
    "        diff = X[:, None] - mus[None, :]\n",
    "        sigmas = np.einsum(\"ni,nik,nil->i\", gamma, diff[..., None], diff[..., None]) / gamma.sum(axis=0)\n",
    "        sigmas = np.sqrt(sigmas)\n",
    "        \n",
    "        return pi, A, mus, sigmas\n",
    "\n",
    "    \n",
    "    def em_step(self):\n",
    "        gamma, xi, c_terms = self.e_step()\n",
    "        pi, A, mus, sigmas = self.m_step(gamma, xi)\n",
    "        \n",
    "        self.pi = pi\n",
    "        self.A = A\n",
    "        self.mus = mus\n",
    "        self.sigmas = sigmas\n",
    "        self.p_dist = norm(loc=mus, scale=sigmas)\n",
    "        \n",
    "        return c_terms\n",
    "        \n",
    "    def fit(self, tol=1e-6):\n",
    "        list_log_likelihood = [1e5]\n",
    "        delta = np.inf\n",
    "        while delta > tol:\n",
    "            c_terms = self.em_step()\n",
    "            log_likelihood = np.log(c_terms).sum()\n",
    "            delta = np.abs(log_likelihood / list_log_likelihood[-1] - 1)\n",
    "            print(delta)\n",
    "            list_log_likelihood.append(log_likelihood)\n",
    "        \n",
    "        hmm.hist_log_likelihood =  list_log_likelihood[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1269,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0781440247515994\n",
      "0.8841120920942452\n",
      "0.2588003221827644\n",
      "1.382634123747728e-05\n",
      "2.220446049250313e-16\n"
     ]
    }
   ],
   "source": [
    "hmm = GHMM(X, 3, random_state=271)\n",
    "hmm.fit(tol=1e-10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1270,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fdfa5519fd0>]"
      ]
     },
     "execution_count": 1270,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 390
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(hmm.hist_log_likelihood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1272,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-7814.402475159944,\n",
       " -905.5947543798377,\n",
       " -671.2265401793143,\n",
       " -671.2172595721221,\n",
       " -671.217259572122]"
      ]
     },
     "execution_count": 1272,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hmm.hist_log_likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1271,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 370
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = np.arange(K)\n",
    "\n",
    "seed(314)\n",
    "n_samples = 800\n",
    "samples = np.zeros(n_samples)\n",
    "zi = np.random.choice(z, p=hmm.pi)\n",
    "\n",
    "for n in range(n_samples):\n",
    "    Nx = norm(loc=hmm.mus[zi], scale=hmm.sigmas[zi])\n",
    "    samples[n] = Nx.rvs()\n",
    "    \n",
    "    zi = np.random.choice(z, p=hmm.A[zi])\n",
    "\n",
    "plt.plot(samples);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fdfc0d3c990>"
      ]
     },
     "execution_count": 1119,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6xNSUC0b5VA0S+7G1dNuIgxfNSWaUyzbiy7mdiQH2lD+8nV90/eZvL4UNO8Zhw45xeMf3b4KpTg3XIClnW2lXD91yzr3xAXj9WUvgz/7vGli2Zmvq4miTc3zXfkUVKUTlMDvhQxfBRy+4Y+bv3cjjwLb1nU6dvRzD1sONZS8yGcyuPZPw7I9fDmd88nI457pVwvE2bepxl2IGRaaNxovMBjmyEqXv3bKreeHf6k27uL9t62wTMaOv4DY+p412fNFtEw5aNIf7PmabKLuvuYRrTAX2lK9Hi84f2NwbRF11z4a+McgBilEelX/+8a0zn//t3PYsohLlK4PdYMRgBHksWaOqqX/88hUrZhq1Hcjo6j7Lex/eAc/82KXwvM9ckW2UjU0798Bld623ulaMtEDftLOuWQkbdkz//vf97PcAMO0xPfualXD18g2Cx8rHgNR2I6MmVDMosixxtIlBDru3g5CvbFFEP+qyaiM/K+FSR1R1I+azwW38nhYZ5as27hRmiii6a6NGkQMEG4AhkW2MVjzlfH1bvy3PPioExShPBK50OYMb5OIpDw++xd368v3rV8NPNKKodD2g29GUfPfZvensJbB26xiseHgn/O+l93gosV/2THbghZ+9Et7zE73BKzZmBE+fpM5u2L5H+O7/LlsOHzhvGfzN134H9yEto6sX7Wc3PQgnfvhi+Jcf3+KUjimyTaawp3yQjXK8eRAAwNZdYv3ArN7Ie8p3jE/Cz29+EH7/oNls6BcuWw5P/tDF8IXLlpPHY8pXRE95O9r8W+7fAqd/cnrm67oVau9pd+CB+7fv37A6mrdc5ixo0RgoCDiC0YYd49nP6vqiGOWJaNNAGE/9F095ePC05mcuvht+/+DWmQ0Vmuh6QGWe8hWMJ+nm+7e4FDUIF9/+kLbH6g1n3QBP++9L4OrlG2a+0/WUUx6p/7v83pnPX7icN5BcoyK88wc3w5ZdE/DDJQ/ATavpCDq2qDzlsld2WzHKZ6A05VqeciRf+dwl98A7vn8zvOQLV8O6rXobENV1DZ+48C7YunsCPnHhXaQBMhxR7z9lsCYjJ/713Ntm+tZXf/165bnd34QHHJ/9zT3w6YvvDlI+jEy+MujRV8YmREfgJo0Bcj9QjPJIXMMYDADtmp6amBTlK6Gm4AvT8ZH/hZE6AQB8+coV8OLP/1Y7je6mQ9jQOOvqlfDLW9dw32FNZQ5gLbyKS+5cD+u3j8Przrph5jvdOOVN7+E46hx8emtwRAFbdu59xipHqlxTXuQrXfDmQQC0pnzzzj1w0bJ1M/cde8q7etfJTg1fvJz2emOwZ5qSi6T0lLclBjQ7s9Ekuem2EVTb8L+S2QrfSOUrkRxfdV3Dh395O/zN166Du9bpbWcfAyrW/6BIWIpRHoHVG3fBq77Bj9rb0cRNQzVaxVkejvf85FbYuNPNK7BNYpSff9taeNt3b+K+y9Eot+mU2EgtOJa+zKhoMsrXbeM9nT49WNs0vLBNvPfcW+H4D14IZ15wp5WmvEm+8pxPXm6t628bOzU85Z1ODS/94jXwt99eCu/+0bQEadUm+eDq6ns3atVlMdoJYZQn1JS3ZW+KhXP0I99MSOQrMZE5C2JJRC9ctg6+/tv74OrlG+Gt31kaJU8dsKccAGD9dr1Zp7ZTjPIInPnrO8RNSDx7mh/ePg5nXnAn/OKWNc0nG0I1Wm1ppNvIVfdsaD6pga4sActXKOZYhEkcm5iCr165As65blUQOZPr+4GNcNk0sWnRffbfrlt6b909Ad+7/n6oa4AvXXGvMiqP7H5iT/kISmTFhp3wum/eAIMAJV/BmvLVm3bNLCK84PfrYGxiCh5SePCWr98BH/v1nY15y7aAZ4lhlE91avjBDavhW9fykYgmJtvhhVk4Rz9uYze0b0q9PJ6F7hLLU37JHb0Bt6+ZOx9QnnJqH4F+pM8ij+bJb24nPE2e37l3/egWuPLuhwEA4IRH7QuH7z/PW9pUB1F05Xkjk69Q2MQCP/ualfDRC6aNjQMWzIYXHn+wcRoqXD3S2Agfn+zAh35xO6zduhve/+Lj4JB95wKAKOto0nn7jNG/bXfzs1Ffj4x6ladc8j32SA2yfIVafI9jkOPZiDvWNm///eUrV8B7//hY5TlCtBOiLDGezYXL1pGLqyda4oQxMcpV8pVYSBd6RpKH5hpwgvKUD4rOvnjKA7N9bIL0NPusXlOdesYgBwBYsmqTVTq3r9kG//2rO+DWB/iFf1TDUSKw5I1MvkKeq+FNx3QNcgCA/zr/duPrm3CtXhMogc9fuhy+cfV9cMHv18HHGc8ltjX+8svXKdPNyVOOpScq75ruIHpA+j1ttiBP+Z4p3lt3i8Mi6dvXbIO3nLMUvn3tSiKuvljRVPIkX7xXspBc5tHNDSP5yt57jNuKmMg05bGcXjge+Ju/vSSL9WLUYKFEXyl4YYVkSshnxcfemkcsnG2cRqdTwxvPvgG+cuUKePO3l3IvANVBTLVk4c+g0jX4sOFG8dObHoRPXNg8xS5DtiudC64NMPaUs+/Iz27uSbyw96VJX+pTduaqKd+Krld5/HSn6G13UO1Xto1NwgW3rZ1pr7Gx4DLl//qzboALfr8O3v/zZXDPQ/wiu2VrtiaJIT931jD5fVucMEae8r2/iRpw2PShNkgXoEe637g+X7jsIbj49oei5K1inFjo35Y66EoxygOyddcE/OkXriaP+axfS1baecZZlj+8A9bsDd+1dusYZ8xRHfWgTCW1lZ6nXM/w+8Jl9zafJAFvvuEDG08Ru0V8KCPUpwfLh6acRdVp6a4BadMmMT7BTpIFzJ7yb/nOjfD1394HAGJ90dmkRga7iPi6+/g2/O/OuRGeeeal3HcxlEVzR2mjvC31wsRT3m0jqHfj4EiL31Mv9MSecgBxh9oUjHnwlOfg8behGOUBueRO+YhTtpmHDThSh01dPO9mfoEoazAUTXn76OqVdRZ6dnnfz24jI1A0ofKU3/vwDnjFV66Fd//oFqM6Y+OR3m/e6Mxn3Slpk9CLAL6jr/jVlKu2QtcNaTeonnL8WHGd/q/z74CxiSmvRrmyAKA3y+WbOTJPeUtmRmcZxHLvGuPUu4F3VA6F7L7GCplMyUTwYu8U+PCUv/xL1yrbxFwpRnlAVNPTPt85XFlNk77l/i1CXFa2Qyia8vZx/m1r4bxb1sBazc1LAADOuW61dDdBFbMVRvlbzlkK163YBD9e+gD8cMn92mnavB8LmKlr3caY8hSp8Dmt7Oopx9erDG/d+9EWj2iXB7fsDtLxUrM/Vy/fINyfB7fstkofe/FyaU1lkZjasnmQSbuxedcEdDo1+dtiOVll71sspxc1CB8JMPNpCuUp/+AvlhkNgpeu2gw/MOhzciH93e9jVM4Fny89foFNp20uv+th4TveU1405W3k7d+7CX53n5m06StXrjDOR+Upv/uhHTOfryDqmQwbjzRrMKs8e+wggtowRoXLYBQb9KZ5Y0T5isJTrlnuNnnKv3rlCnjmmZfCH/3PVc5GI3t3qoqu0+u3j3u7P9hDqTM4jGEoyjTlbTHKTdgz2YGNO/fQRnmkMqSOvjJGhB40mW0IBeUp3zPZgTd9a4lROqs2ppfimFKM8oCoPDg+9U7YADFNmQrzxmnKS5zygcEmwoOupnyWwYJQG08R25HphnDbbWgYu3jKcUfr2gYIRrliIKJrVLXJKP/Ir+4AAIB71u+An9/sb3+GCmijfNvuCWvj9IaVm+DTF90FD2yeNhLwLIerlMkXcqO8HU4YU1no2q27k/42qVEeqUx4x2IAgJGh9GahLFTj8vU7yO9lxIhY5JsSpzwgKq+az9kpQX/mIW12UxFq44iiKe9TLNqwWbpGuYFW0cb4ZTsylfE0PtmBPZMdGB0ZMpavuHiwhBktdHxsYkqq6aUQo6/Iy6Zb7LZ6RHH0ElPwAIkaaG7dPWEd1/m137gedu6Zgqvv3Qg/ecupgl5cR8oUo8WdI1no2RZtrk49nz0yNPMc12zZTdf5SJ5q2aZM8eKUi+1fLD29CspTbkMLbfLiKQ+JynPlc6En9lqbpk2dzerhqQ6jRF/pT3TsZtyQX3LnesFApDBp7G1iB0/VNYxNTMF9G3Y2LkzrDjpNJSQug1Hc+bOv0FevXAEnfuhiePkXr1HmUdc1LF+/HfZMdsSFnh5mr9rkKWcxWTtBwctXKtpTPjZhfX927q1nS1dNb06FjXKd96fIV5rRuUWPZjbWe3DLWFL5ikxTHi0kIuEp13WyhMTXpkYZrFk1pnjKA6La/c/nOydqyt3T7HYa19y7AX689AHhuElUj0J7qDRc5Xi746lODW85Zyl8901PV15n0tjbGD+790zB8z59BTywuXnx3Y7xSbj5/i1cWDodbKMiTEx14B9/cDP3Xdc7e/19m2akGEtWbYYlKzfB047an0znkxfdBV+47F54/MELBa+6j2n48ZYYXxjT56iiApmnfNLLQtixiSlhQOW66NcX8oWe7XDC6Lyehy+eN7PWZe2W3Ukjy6TWlOcafUU1g2niGBluoas8/ZCoj1HJV7xGX3FsVKiynH3tKpic6sAbz6YXVrz8S9fC5y+5xynfQn4MVQCrNu6E5evlcgBqQHbNvRth6y61YWFilN+5rnn7csy2sUktgxxgetD5pSvMY7PbesrPuW4V/OaO9dx33ZSuuodfAItDnLJ048nfuW473Ix2k/QhMWirp/yOtdvg/y5fDr+9Z4PV9U0hEQGmZw993J/128ZF+YqGptzn7KqMXDzl92/aZSwtA9C7R4ct7nnK120bI/vpWBPBsr471u2mBpk5eMpVtpPJO1gVo7zAojbK/b31rp5yqiHbsGMcfnrTg8rp/U9dfLdZRoXs2blnCk7/5OXwvE9fKTVwdkhimd/VoOvV9cB87/rVZEQgn2wfm4QbVm42vs7WKL9w2Trhu+57ir3vOlIGirZIDFzYtHMPnH3NSrh9DT9o2z42CR//9V3wyq//DtY5Sllk0Ve2IqP8gAV2uz6u3z7GrdkByMlTnn5Hzx/ecD+c9vHL4Fkfu8x83wSNYrIbDJku9PaN1FMeIZCCzLjNQVOueoyy/oeijQs9i1EeELWm3GM+jnHKZXzj6pWeUiq0ia6N+JpvXk8elxrlDd5t3egr7z33Nq3zXNg+NiH1CqqwNcqpgXJ3YI6PWRvlA7D4+r3n3gofOG8Z/PXXrpOe87ObHzROFzsmKPnKzfdvgR/c0It7/Mh97HZ9fGjbOGxBzzgXTbnMsxhzBuVffnIrAEw7hr559X1G1+rcIlaiI9s8LMasBIAqTnn4vDdJZuRyN2TxgFZFBkocY4pRHhDVwiufO3a5ximXnX7gQjtPUKE/kBmgO8bpRvHOdWpPuUn0ldBsH5uU6mdV2CrFSKMc/dvF1ihvS4QMGWMTU0Lbde/DO+BvvnYd/OtPboXxySm4cNn0LslbFFKpeZIIIirYbCugF3oCAKxgNi+xNcrvemg7nHnBndL8kyIpSKoQuBt2yKVcFDp935yRXv2QSWRiPQ/WU/76Zx458znGjp5rttptfBUFxc9ftUk/9vhQRn2OLmWhZ0BUU34+F5eI0Vf8cPSBC+CKu8PKCArtAy/07IJ3W8MRBIYb4t/+eOkD8PXfmnnGbPnoBXfC5gYN/LGPXAR3rOW9/7ZREahOtvsVPqQyOFWEWoynG4fehV/eugbe/aNb4LhHLoIf/d2pMLy3M/3aVffB1cs3AsBGba2rzQwIh0S+gjlokZ1R/stb7GKqx7ATZXn000JPVqJz4+otijPDw97XQ/ebO/M5RsjhtVtomVcOA0TVTMXrvnmDdjq5e/0piqc8IKoNAHxOB7pryvNh3dYxr3r7gn9kU754OhSv7FdFFKjrGt79o1sEIzgUG3aMN54zn/C4WstXyO9q7t8uODKHLqEkBvvNn9V8kiNv++5NMDbRgRtXb4EfL+1JRC5itPjfvm6VVlrzRt19TToDgEcxRpQJKzfqbxWeC6kWAJvaVKbyFWk6sTzlzH1lyxXFKM/ZU+6JFtrkxSgPiWpXwT1THW/Gp+iRt5evLJ4/yn0fw0vW5b3n3gpP/+gl8E4UOm6QaKoTJx6+b6SSyNr4ZQYAACAASURBVJFN+WIPLz5P5WX2EWrON9QgwjZUGfVcZ77ypCkPZTjFDit2z0O9XfuOPnCB8fXu8pXpDWYa85k9Aj988zPgVU9/NJz50idq52Vtb0WwFGVZxJBT+ECnmDozKSnilLOymhhG+RqZpzwDN51tdZuFFqm2UL1SjPKQNL1YvqYEfcYpx5V4wZw4Cqe6ruF71097yH5+85rWhmZzRVVnjnvkIviDxz0iYmloZBF5Nu/iPeVjaJMhlZxrbE9+z5uKzGDbWVKX+daUU7vz+SB2F80uJLYZrOlIT1TIoq9gZg8PwSlHLoYPv+R4eHKEwXJ6Uyk+OvsmmGKya25o2DaRLVeMOOUyT3kO4y/bIuAZriJfKXA06cZ9hTDD+ZhWaH5kXHHfz58dpwEbm8C6+AxahgSoDNeR4UorrOCfPvkQn0USkIURG5/scMfwM1WF+ZJJYlzRmaqWGWBUmXzKV7pfYi/6lt1mi9u6+NoFDxO7k97OGOWxQtbpRF/BzBrpvYsjDesl2oKs3c3BUNNBp9+YrSVfCf+Dpzr1THuCB4K+dvTcvHMPfOqiu+AnxAaAaxxDh+YIbsuLUV7gaFqx7sMb/OUr7oVrV2zkvnNpT9g6XNcA8z3oM3XYtafsEAqgNsqHqqpxsSQAwMde9iR48mHhPHeqTT1Ybzk+TzUGDfX8D923Wff76MXz4F//6PHC99SMgO00Pilf6WrKsXxFstCzyVAIZpRHHiCzm1PZDNZc7SlV9BWW0eFh5nP4rjSGYSzLI5WTxFhTbrjQ0yUvV1in3KzhIc7h4stT/uHzb4fPX7oc3vWjW+CGlZu4Y/dLopjkMP6yHRRhp1WRrxQ4muUrbp3o+OQUfBSF1rIC6SlZYu2IhQ2gtnhmfKNaHDwypOcpnz0yFNRIUBlKaqM8vqf80P3mNZ4zb3SYvK9jHuUrdJzyvf+i77ePT5JtQ1Pe/SL52pnCU45urZZRzpyTw4YrIemn9ljWNsb+jawDZmSo4sL3+dKUn3tjL2b/t67tLZTePjYhjVOeA7a/HtsrbQyJWIzygDRpxl09WzIdrqlXgz0bT/fE2FkMAGBn8ZQDAMAPl9wvPTY8VM2EilNRVRU3te4b1S6v7GJPLF9RzQKEMr50POVzZg2T93WXV/kK5Snf+y86VNcAD24W9Z5NuyoG05RHNlZYTbmVp9yiS+cEfJVouFGLA2Mb5TEkFbIcYlUBLNswjiSmcYFOZJ0YdZ6ddRuqKm5BdeiFnqs2ymN9tzn6GW7GYzkVfVKM8oDE8JRT+JOv1F7jqauQxb4eJFY8vAM+8qs7pMdHhithdbkM3ZjOTVB1VNtTjuqnSvoRylN+iMYGLzJPOfX+2spXqLHtzI6ehMmDY77LysMyPhFKvhKX7WPxPeUsFYi7zy4kFryzhnvMKFUpiGWn4YW9pn2kTjF1HBsxwBF/WGViaKN8tWIDnhxMctv6hp2KsSNH+aC/W5LEsJpyqm40eb6akG8RbAY7MsbFZMv47ICRP3Dn2+LBujVX3bNBeVxXUw7gb+EZ5RWnZB1d2A15xlH9VA3wQhlfxx+6T+M580ZHyPt6+GJR+mL7zlJXyTzlAPzOkbp598tCz66nfGKqY3W/bcqLvYOzhzWMcs5THkFTHjwH1b2LUwnwwNJ09ocqP352OhLAKBp6FF+BNSBDh6BUecrbDDbKMxl/GVGM8oCwRsgsotN3fe+wPKCXrn3C7HRPDfyI/U9O4KN6OO+cx4DlK4MYfaUpNrKuphwAYNSTfIVagKnyam/lNOU4+kp8T/lxhyxqPGfOLNpT/tlXPFn4zjYqgjJOOcFKC095uFjvkRd67jXKbeuETWl5+YooE5s/WzTK2fdV9710IcpCz8TRV7ARbrpOgir//szeGwByT/k7nvvYXjqR73UFqO8NnP9D2xSRV1rU9YpyFXy8fVZ5McoDwnp5KNmB62jYlyHDTaOh6Cvs9OFpjz0Arnvvc3vHPb69JfpKc6iu4aEh7alXHfnKSRqxlSlZkUpTztZ5XD9VEQVCecp1ZAXzRkVN+SuffjicdPh+wrn2mwepjokHqV0fm6I5hSKGgcIauN3Bh6xO/NUph4UvEIIaMLOecl9ysVyJZ5RjT7mhUU6UczEyyin9/9L3PQ9e9KRHGuXlCt/vVnzfGyS/XqoxNieyRdep+FenHAYvefKh3HfYCG+hTV6M8pCwnSg1venuKfejKceLnFjYl3d4qIJ95obZchsbf4MoX2FDrFGMDFXaC8p0jIRXP+MIeOmJhyrPoQwjVUhE9rlhPahyoWcAT/l33/g0rSga80aHhft60EJai25bL2UD8Lqmh7bsYscuqTrSGLkuIDzRbN07fPE8+OZrT4YzX/pE+NtnP0aZls1MIdb3Yqgweqz3fHhIf72HLVGeviSTWDOX2Ag395SL7L9gNvc3pTPebx5vuEeRCjGfhyq+3oVebKl6nqlnqXV/+ujwkPCyFk95QQknXyEabNfKL9eUO8hX0OZBOGwTl4/Hd1fQlPtLujU0yVeGh/WirwCIRvkxBy0UDJ/hoQoesYjvsDBUVByVAc0+N1w/VOEeVd53G37zT38Apx59gNbghIq+ghf6dbGt87IFa9K40MT3sRZdY2JEY6B2Dmbr2bzRYTjj8QfCK045HOaPqgevzqWtxDTwuzk8VMFBC/l3hxpY9AvJ5CumCz2Jcj7r6ANmPh+2eK7wrg9V06HzYhrFAPxAPYanXFce0xaH2OjIkLDjq6Apb6GF28Iit4cpzqAN4CmXGDLmYaR6n4eQfIX7DcNDwRqOEhJRQ75SGWjK0SDwU39xAtzygefz6Q1VjdtYk5pylQHNVCbsHVZJP1Ted1MOWDAbHvOI+QBAD4Yx09FX+HvvWyMsm4avQRLDnDi3nz3leH1Kp1NzAzXWUx1kUSX6kcLCzxG+fAcvmiOUgxpY+GQQQiIK8hXjiEJiSR+9/zz4378+EV560qHwlVc9lXjXp/+O7VQVZ2fCasrZ+pOz3a1bttkjw8IzK57yghLOyxxgahOHnOtiLl/hR+wsrIcv5GImcfOgnJuNMDRFTBkZ0o++gj3EI3u97EcdMH/mu6c8WtRMYyhHlcooV3rKFUalT0/5s47ef6Ye68SppUIi+tYIy6bhp+UrlFUufucarQnTNDMTE+o5sQO1uZxRzp+7EHuoLW4TXnSHwfeKin+/YHYYaV9MZO1uNE85jr7iYfHy3FnD8OInHQKf/osnw7GPXATDqP5QfXMc+Qrb70JwTzmXd8aect2+f9pTziNGXylGeYGB1ZRTC85cK/9uyeZBLnBTeCBqyjk8vrw7x3H0lcEDG2fHHLSQ+3vIIPoKll90jcyvvPop8FenHA5feuVJcNCi5hjeVAPJygqufe9z4B+f9zjmfOZadF0sTfkzmelqHebMGhY66u79etsZR3Pf2w4WZZ7yTp3OU64rt4izvTufSQ384G8eI1nBkawetXge/IHHcK1VJa6dwbNYh+4nGuXC4KCPiKcp59sBHFa1CaquzkVyJ9yG9vq12K5y9o+KNyADvHRVVcHSVZvhDWfdAD+4YbX39GMzOjLUyoWcTRSjPCCsBvTYR4qh2Vyjr0gXehqmo4q+gjXloV4C35riVoIe3ASKtlHX+htfYE9v15A5+sCF8NGXPhFeeLxepAFcl9jY0cNDFRy8aA4veWKuwIaWKpygKvZ5l0dqbAQEAHDUI+Y3n8Qwb3RE6Ki73rO3nvEYePOzj5r53vaNlXrKJeYO1TS4bjaGocL8UaSYtarrmttRdc6o3FOO2yWrHT3RJc899iB47IELAADgX154jCBfIT3lgeUrMWDvw+MPZpwC0TTlaKGnB005lkbhNpR0dMQYiDKfK7TQM4RSra5r+Mj5t8Mld65Xpp/aIaYvXxE15f0ww16M8oCwBu27nv84OGJ/fjMS1+ojXejpKU75FGMUDg9VwhRzyJCIffBuGYN/MvaM1lA3esr/+QXHAADALGHhIn1d0zPEz2E3khQIC5QUyalC+rGDspOP2A/e88LHC5tVff01JyvL2gUbUE3MHRVDTXa16PNGR+A1px4x873txjQy46KWesrFL316yueNDnPeZxVRpvKJTNiBGidfwQv1hEV6bmWpqun27lfvOA2u/Ocz4K2nHy3IVw4h5Su8UY7jY7sSJ3a22fe+wUb5iod3wucuuUc7ZC713uDIOTj6yjChKY9d5ysh/zAluHH1lsZzUhu22tFXNDzlbTQjilEeELYT3WfuLLj0XadzkgTXyi+b2nNJla3jrKe/a7Q0LQy0RfCUt/FtcgRXBxxto8lT/rYzjoY3POtIABDlK/Y7fPJlmGA6za7hijecYsvLort50FtPPxrecvpjhMWqxx2yCH79ztMaS4ynq//5BcdAVYFU4jB31oh08ReA+wKw5ljL4n0ho694NMoXzx8lw/yRRDEGRfkKu2Zmziz2eWAZXa21dkCdv8is4SE4fK8jBRvlRx4gzsZgT/lhxI6wGJNlOrFD1bFyiliGGtWnffriu+E71+nJLahi4lnDIUG+Mv1vbCWEoCkPvNDT9R3JjdFh0SjHty31AMOGYpQHhFskOTwEQ0MVNw0bylNumjBbcdmGeEIRDnH6OrN8VAgG6ABa5fg3Y89yXdfSBcNvfvZR8O4XHDNjaAnyFdlC44bbjJ8xaxdSi2jY84XoKwqjktWSdg0g6vRHLhI9lBhsbP79GUfDLR94PnzztbSnndo8SLbQ06ZeqqbgpZ5y4jufnvI/PO4grRjuAGk85TjyExVbeubchrT08mcMJOI4vleURApryk941D6N+c4bzUvywkXiYn7yz25eA9++dmXw/GUD2I/86g6t66lHv9BCVhQl0g3nKdefcbTPTy/R1D2vbhs7/U6GW+eWimKUB2SKMGp9TrPibcxn0nWJU84UEMtX8HGf9X8QjXAMtrnEgQpIo69gYx17mW2jiQgGD/LusP8C8A1/kxyHhT3U9ehQ5+8zbxZ87GVPVJZ5DmFsLpozS/CQdZlLRl/p/e3qwVJtgFJDrb3Q09eOnicdvi/88wuO0Y6+kioUH97xUHptLS5Qd4HKawfa3OzAhWJ8fyxfOUkjuhGe1VER2+mHZ0Xf//NlsGHHeNA8TXfwxOB79KE/fYL22gnZjF8osKZcdqxAM3tkeCb0bZd+uG/FKA8Ia1SNDItGrWsVkmvKzdKRnT7BbX60V3dnlrR+GQhP2aCBjR+8sK+u5WEpsfyCColoVyb8BfvHdJpDmvIVXflFNznZQui/PPlw5fXasoy9zCU2D2JjUIeUr9Q1PSClDGEfnvL3v/g4OPetz4R5oyP6Rrlzrhp5CNFX9IfpNdTOz6gprzVbdnN/U4Y7lq8cfeCCxnLp6vpjwd51qqlZt3UsaP4bJUa/rj6fLf8nXv4kePUzjmi8phKihMcBz87InBu+kA1sH43XuiXue3Xznz0yBK9+xhFw/KGLYMHsEelMaNsoRnlAWM9W12hiDRjXPtZX9BUW9sVljUJKyxzSgzaANnljCMFpTzndsGJ5Ct7YBIeR0y+TWIYuM55y9jjnKdeXr1AP3LZ6mRrl80aHhUGLTO5jUyTVTqY16P9OalDzjKP2NyoLK8PQla/EgJKgcEaLwmLCEwg27ZK4kQvPcYf0omctksghsEf2kH3mNj5bHBlERWwZUWwN8q49k/Dd62nt+AEL1DsPz2BRfuq0OGFA2TJUwWNqy96LN512FD4zaDl8MToyBKMjQ/CLtz0LlrzveXDG4w8UB/ft+Ckc+bTKfUanU88Y3d3V/AC+5Sv+d/Rky0fKbwI1HC18d/zT4Fmu61racAuLmdBpMulG031XzWB0k5RpIU0WelKbt9h6hnXDRnah5SuMp5z53kqvrLjL05sHUd+L32Hj/v0vPg7ecvpjjMrCypqovRMoonRsDXmoFpjXe8/wBfWKvfLpj4YnHroPHLxoDnz3TU+ny4Fu1L7z+FjnpxyxWLjGRL4Sm9jrAu9Yuw227Jogjx2wUNdT3sO0+KnXQbL5u4ZLppAlOW90GF7whIO85xea7kxfVVUzjhiV3LItFKM8EDi+dxefU1S+NlzhpiyZGtHoKfeSO51YG1dNuyIs9MTyFZB3HNgz7quDwU+B7Sx60756WkxdI3tGUx6pDswZGRa0+pyR7ig5U+6eJzlOdSZsm/L84w6CNzzrSG29bBcbT3mMjq1ZU664lth4yDx/9VULZo/AeW97Jlzzr8+B4w+lF3BimVJVVfC+Fx0LANMDoI/82fHC78DylSP2nwcvefIhdBkjN4mxd0OcUMwo7T9fz1OuO7vSmE6MOo/qd+joK7I1KUQwo6SYhES0vTZnilEeCNlOmLoGjA5BFnoy5YupKcf0wbtljCrSyfQJ8mul0VUakBkYvTJpyFcknnK8WZDKyKYjkPivBa84+TDhO2qnVN5THq7WyzXl4rnczBW5RqUZ9ndpG+VRpvKJe0DMnsjwG7mCzq2qKumMEwDAC48/eGb2oVvPXv/MI+Hs158Cv/iHZ8FjD1oI85BcZQ6KqX/Ju04XBtipyCmAnm4EFap9aqKa+TesUYxhHRxDeL+HAPnJBj3V3v/lgln0lYa0WmhI5BWPqY9gd2Pk9LweOw/ZDn9O8hWmfJOSgYVtPsoyDKQZztN0P2uopU2nbRzyFz/xkXDhsnVw/q1rtcrUFDqO29ETHcPRZPjrenTroO9t5QEA/vNPnwA3rNwE9z68k/teOySilXyl4SDpKReZ5KIhiWtUdOCM8uGMNg/Cf9f6nnIADwakhx954MI58J03PQ1ufWArvOykQwFgesDHxsefOzoMO5k9GbBhoZJexfHe8oZiTHwbUKaGZmz5Cm7zZGtzfCGzF9oa+YWS3/WDHZHHkLwPYfWfw1x4tR6uFUj23rqkypaPlU+MECERfVKirzQ/N1VEPFtP+dBQBV/465MUZcK69t7nrsyECyVmqSln6aYWYqvp2SPDcNpjxU2EsKecXfjp6sFSdbCyKCNN0VeoEKs6sB3Z7FmazX8UTznOskZGi8JYFcpnITHi8jK+fIaTj1gMb3jWkbDvPFoDjTXklFdcln2UGQu2HNGN1F7uOOSk7k+3uUdU3Yo9OyREXwmQn8woB5x3S+Qr1IL+frAjilEeCF5T3rvNQxIDxgapUW+YsKzzI3f0jNRS98OI15Qm70gNtdSDi6OH+JqO1KlKUiMCR19RylcoCUeYOkANDgRP+RC90NM3OMrIzPfEufT7aJYfpynXXegZRVOulvCofiYOiehabUI+7/2QsU4NplMvOOwSvRzMczvqEfPhqRpx3hVJZHMfZYj9blirXDZTWSHpTGp0fzoVuUgc3LePYpQHgg+HKFvo6ZaHL0+5bJqYleDIdI6+DKc2vjy+wfcALwKr6+mYsicctq94LbrY20JPlC6ng+xuTy1ZvGwWfaXHjHwlkFFOhRYU4ryPSKLV2ITbazhGHie+pBaPmw6+8tWUi39zhrpyoaf7IDSWR+3gRXO4v3UHRrHgoytFlq+gv19y4qG9Y5rPx6U/ij4zgKo36xcIEX1FKl/B5WpJb2wa+rYt5NUi9BGUVwsAT1EFkq84JMvLV0QjIBRCY9qOdsEr+BZ87TVP5Y/DtFfjh29+Ovz0radyx7CdqbsxTGOZFGWkNt2oJZ8BxGgycqZT9LSBpQBVjmEc5531lDvu9Mfes6MOmA/7MaHy6lp/R88pbpBsu9Czd0FemweJeVJ1jby24W+t/NlFpQGbuoP34Y1yauYrl0V3Kb2neNt53aeqK3lqTCd2HNDKvZ1pQrrQs8qnzgHo33ud9quNUdyKUR4I1qvlc8tuFtnl5hWR8X5y8hV1SMTpvAyzMi7RINH71ccctBBOfcwB/NG9h2ePDMOJh/NTu9iz8pzHHwQHLZrWZb721CPsS6QVfUWmKeevVe4dRBwL4S0CkHnK8UJPyToQ1yIRnS+VJPUOU5K4GNFXckC5eVDtvqNnLPAmOCbljmFg1JK+IAZeQgRqSp4oQhvFGOwp99rOEMg95fydSm3HstnLnIGjw0NkJKQ2GuGYEn0lEFMd2qD1uZhDVgFd0uXlK5KBReX/xW3/q+QOe0+POGAedYbiWv7Y6MgQ/Podz4bb126Dpx0pblqiXSZFPt0aIZv9wXVEFicX59NNL5RR/ppTj4Cf3vQgAAC8/CmPAgB19BV324T/Hbjz1dWUU2FWTT1cVpryGMYgHvzVdWOkn97JOC2b/HufQ3oN91/QvAlOygEGtZA7Wt5otsIme5sZD2pn4hhgr77PWXQKyhkxnTeElrNbMzRUkd4cmZMQn5rTb9ElW1dJVVWvqqqq3vvfG1OXxxTeUx5Gj+1LviLrkHhPueQ3mGWlVQbq70GA/cmUl+rR+8+XXku1t/vNH4VnHn2AW9xjRSM3E32FPc56yvFCT8PoK69hPPxd49kHTz5sX/jUn58AbzvjaPj3P57e3GUY3W+8cLaLjy3cdTpfKhtSU2660NNGU26WhRX0bEHvs3LzINC7p7qEtEV1NsGR5R+7TYxupCoGRvqacnkaMqj7HXsdxbRd7G8WnWLPpFxTntNEE/vbZZ5ybTltC+2ILD3lVVUdBgCfB4AdALAgcXGseNR+8+Ds158CU50OtyAhSvQV03QknZ9MU15B+LrelsUmPuF2y9x7u89+/Snwt99aAvvPH4V3PO+xWtf6RAyJSHiiJNO+RiERifL/5VMPgwc374atuyfg3c8/RrfIWrwMGfl4KpSPvuKoKWc+U1EWSIOU+Jb0lJvKVxhDfPaIZpzyyAYKgCjrUWrK69p9oafT1focuAjJVyLlqwvvGEhWDACwCx+sO5Aj84u90FMxMxBVvoJ+d3IJCJO9zCOO1wD1Lm2/3ZCdUV5N91rfBICNAHAuALw7bYnsWDB7hNs0okuUhZ4Oacqir8g15TX46Fra/yq5Q3l5/uBxj4Ab3vc8mDdrWOnxXjRnlvSYrzLhvyv0Lz6On2mnnt7lk9QCMp+7HviR4SH4lxc+3rTI1nz7DafAd3+3Gv7i5MP4MnrsrLGnvIOtz72QnnJikGxqjM4ZyVNTTsXDN/GU42uN89eVyjjypEP3gaMOmA8rNuyEPzr+YMlZMoMjLvHlK2zeHuQrTmWJIdnqfRYXtvpH7hSpoj9rXWSlknnKxcF9+yyLfFrlHm8HgOcAwOsAYGfDua3D52IO2eWmI12+IWPlK6wEh9WUB1gQI2hKfSXcHrifzFSURXNmkQZ5V3px5AHzFR28xzIBbTzzsz8181lMTyfMoU73cNpjDyC/P0BDsytP8xHwxVc+Bc445kD5SY56ZQDRA9gUo7vLFLGjp2lfuoDZrtzEKA/tPaMj0OgZWJ78Ar28AhooI8ND8MO/ewZ89dVPhc/85ZPJvFLKV/iQiHHLoNxky0a+YuopDywfwQgLW5kCh5j53KPpKU+NjiEtW4TsY4Cemqw85VVVHQsAZwLA/9R1fWVVVc8xvH6p5FA8d1sDskgVNoToKDn5CjddHmczlS4tfJecMfXWvenZR8ELjz8YDt5njptuHAAO3XcuPLhlNwDAjCdvuky4jL3P5EJP1lNO1M+pTg1UeFnTqvyxlz0J/vEHN8O80WF45dMfDW84ewkAAHz5VU8xS0gD5x090TQ1lrDp/nZOUz7cHRDpl2N0ZIiTrJjEyK7rsJ23cAvwfVHt6Im97Db5R2xwDlgwG/7wuIPiZWgEW1dTesorK9kYf56mprwb2jWhfGW6HMyxmPKVCHmboLPYOHSI5pRkY5RXVTUCAN8GgNUA8G+JixMM3kvmRpCFnpK6rjtdZMsgGuEqdDvEwxZTUVrM+cZrT4aP/fpOOOFR+8K6bWM9o1wweERNuUz7ST1T2RSqadSEQ/adCz948zNm/r7oH58NQ1UFRx/ofwmKz+YfT1PXIPESSwY0XXpyMv3SLZjNN/dGnnLtM+2gpp15Tbn6Wt6oaHdrIvutsafik5s9jgVwMbJj3GlsfAaPvtKSHT11oCSQAPTalLaRk3zlPwDgRAB4bV3Xu20SqOv6KdR/AHCn15I6INv90Ab26lOOWMx8bypf6SGbFpKFdfSF6JFt4+vkBuWFjsUxBy+Eb7z2ZHjH8x6rXHDET2+LHqYmT7ksLBeLzaK9xx20MIhBjnGNvgIgGpCkfIVIZ4LSlBvcqjnICDfZYCr8+6gW1uPf+aqnP3rm898++6hsNbFNnHh4b3feHHb3pN7veJn3PuKcbeQrupDOhQRSodDyGWlIRFyuxKaszgSZ3FPefrshC095VVWnwLR3/FN1XV+bujwh4XVjbmmxHeWiuewugW7pUsyKvNp5AG1yY29xKFSzOZTWUTbNTD3DjsxTnvHz9rmjJ9aOyuQrzZry7kJPfWYhIzyrhZ7E4I/3lPO/9N0vOAaGhyqYP3sY/uqUw+GGlZu95R/z3ft/TzoELrtzPdy+dhuc+bInKfOPHhKRKEdYCRPf/slm4JpSmUlD84pK+BAHZfSViOUQ7nVGbbHskWh7yjP6LbokN8oZ2crdAPD+xMUJDl+V/HnKhxxeaB0NF/t9FSAoYurReQ6k9JSzVIoWmqwrMk85kbbMW5PKKNIhdIdFJUm9D3Sccv2bJe5ampF8hfhbVSf2mTsLPvgnT+gdZ691LGzM+jc0VMFnX3Ein3/Ctz+lp1yI222Rv05fppmSw7WaOXC/t0pmGGNHQWrwrNwpRy6G6+/bxH2nqylvo12Rg6tkAQA8DgCOBYAxZsOgGgA+sPecr+797rPJSukJn7FIZQ2osaacqbiyui6dLPKlKW/fu+Mdfx2KG7oLrChVs2pHTwD9DYRywvVRCAu6UBug7ylnNeV7o68YlAMb4SaLpUK/n5Q8hovb33C972eUI1F0zpnM1gnoyleYz6bFjz0YwjINvs2PVx9tN2oKBX9fKvjcK06E973oWO4c3egryBWAKgAAIABJREFUbSS5pxwAxgHg65JjJ8G0zvy3AHAXALRe2uK6EQkLZ0wP0d+bImuWuHcgiqbcfx6549Kh+ISLo42MaMp7WUnmXSmpi3QHS+NSpsHm3Wpe0KWnKeeN8ul/TbyZeJdS2a6lFKGNVsFTXvM5yqar6bQcn1HiJY65GMOUYyBsSEQ+bxsTldzczLEsocDRtoT9C2JRpe1vVFQAcPA+c+CNpx0F/3X+HTPf6+643EY7IrlRvndR5xupY1VVfRCmjfKz67r+WsxyhcKnp5yRmLp5VnXkK8xrm+sL3HZq3jJIhqoz5GdVRF1zU5WWRwzK1EMHfhdgVUR6up5ySmNtcq9GhrCn3CwkYkh074EMn1Umdf2TZh/BwsCLDzGhdg4GEJ0SdpsHMWloXt/t82Jrurk88CAkojUpLvRMi85PH+5jT3kO8pWBIlTYIxf5CouWp5whVEjENkwn+4YyulKgiqXPenB6nnJgzq/JzzPfeSlhXHwaadSCLt25g47jwAVH9zhgwSg85hHzzRMKgODhAnsphU2b1IZ6GbuM1C0PWQbVwFzXSHWZ8Yjd4qo09FEd5WilZ+rIZzrvvWyHcTGt9lGM8siE2jzIJZY+1nA1ESYkYvunnZwhDN4UqDxG1AZHsvOpR6jT4KeWD6iwqZaNIRGpwQt585g0CO9eE7NG+JOrqoKzXncKPOGQRY3XBveUU/kZGFg+29XUtS/lehJOMkTKVyJ6cC0817z3WX7eS088dObz3zztcDGdKL+TNz5TLfTE4Rjzgi6XbJZPuG8tNCSyNsrruv5gXddVv0hXAPgq5joVKGtATRsUHemAdKFnqJCIQVLNG91txUPDyytED2bvxIo4H8jPqu/w96nlA0qsvLCo80UesQb7m/yuOwg3i74iNveHLZ4Hr37GoxuvDT5z1STXafiZrlUmtXdQh9ixs0lNeci8ub8qabuiTENzcfC/v+hYeNlJj4LXnnoEvPoZR0yfH9lTLXrK2WMx5StooWe0nCVICnDKkb29WP7oiQfTl7bgPW4iuaZ80PDpBZEZMmHkK6ymPGerqb2kDEfGosqakr3LPeXtbyAB/ErOqNBn9OBFT75iMkO2eP6otExNRPeUQ61tYDWlZXpNTuHhUkLdhngLPd0H56rnuP+C2fCpvziBP98tO2NwnfMZBMIEH/faJ7LB+CdffgL8+89ug4MXzeE2D5NdS/3dBopRHhmfU1TUorvp703T6WFqDIYKidgPI15TKL12CtR1VD2rwj43kwgC2YZiA/dBqHAPueRoM5+W/vQ+DxGzFBT/9ZLj4X0/+z2MDFXw7hcco1HaNAjvey0aaUo8ehlTVz/p+p0IJkbzbF0cX7nt4kNfa+Wjz0oAQDVEHwuNcJ8y6nrZsh2+/zz49huelqwssShGeWR8et1Yo4ddjezkKddoyWKsUs+oXYhGLoapqo52KMNQMiC0lq8kN4vkuC4ipLSjuppycjfVhlv1N087HB530EI4eNEcOHTfufRJGrc79PvYNDBp1JT7HjgVyLqVapsBm4GWaRsau83FslG81iQaOO/Eva/TTxece05FSUIxyiPj1VPOGkgOccp1PFLs9yHartQNQQ7w9SGlfEU+wCPlK9xxXsCCaeNz9jkIndaONs9qNUWuocJRkvlVFafFlJWpidBGAuEot15nYFdSTy5WD8gGGJHXHkoWegbMWpCvmD8IX+1LDKMYDzqTRV+BKqvZSRfnFHZctHHGPeuFnv2Ir9CFe1OY+eQSfUBHTynvKHw1guq/BwGZli42vNeEh1oULKvTRp5yNv+MOggAz4sIhXjEkvvUkE5FjYgQj9pP4hm3ILyn3G0A5zVspb+k7PJPWICmviCkkaOaGbGTr5jdyNiabmEQIjkWGjH8ZLy8mzB9hhkV3ZpilMeGqWPO0VcCOHfkCz3ZzzF6jX54vQyxXNjmHcWiYarjlC0yNqnetov6YmNjlAiSciQPIo3PhgGNjqb8K696qlb5dN7n4As9iUF5UyQQeWLu+edI7CKSa0YC5qcyUnUzdorilFq+4lHaakIFeUkGfb6LLXitBYpRHhmfo3FqOtsmXb5xkHnKm8vgQhtfHt/k4i3m6yieDuROZP8Rzqe9n+3DdVpZWNClEeqN+rpDDFxk0VfedsbRcJxG/HE2LSWhjXLhb/4bg3We7hFyEk/VSNvaCC9P094XKT24OngLKxvjXjOfK8sQkD7A9T11G+3SD7ZhcN1EMcojU/G9hxPSBtShZuq8A0E05YIWLEAmmZPLYkdVeE2qzsnOpxaFyTzNuQxIKHxOK2OPWKeutUMiUl5AmQE5d3TYpZhi3rGtcpDIdSS41pkBbG4aodqgkPVApSXWzZdyGugSI4ABiyoEZFRNOc47o5fB9LVWOpFaQjHKI+PTo8NFwmCscmNPOfNZZ6End22gSt/Cd8kZEyMkJKqsad0nXfd0tdJmJYiP+7NAXl+kwde9T3zITPVCT5My65wbPk652Jna2ldWEXICSAFtSRsSsUdsTzl2SlhtHsR8NteUx0XcVIw5FtGarCAvR4jLb1fJLdtCMcoj43NEynstHaa+CK0qhvPIefT2e06m1Tg4ebyi6hxoby193MiI6OMKIMpX0HFK5kPeD3FqXjqINqhBWka5dmp2NEdfURfSpywwtYGSUj7TdM+DGuXsH5Xlc3DRlLPJxIi+4mEQ4gPbWYlQWK8l6ROKUR4ZF+03RubVcHmppJ43jXOcEGQSITLJm1waI1XnQE0xSxWJpCSBzjNr+QrWXLrIw6pKGMTQnnK1od600DO3e9gEdUdNQqO5y1da0OBELiK90DPNfdL3lNtrymO3ubjNSyVfoV0F7QTftxISsdAI1pM6IfFwm4dE1Ji7jTyl2opO0jO5/GJV50Dp3mXhOJvV45L8G89oF/gXi9FXiGuIL7mFnt0BkaQFN7mHOl718HHK8YxMLcww6Kdlkz+bV54LPWPAO3oie8rRQmYbqacvx0YcTTmStSmOhSTnkIjGtLnseylGeXT8TVHxI20/HnidDimER6EP3iVnctSUC5sxsOcRnnJeU64ry2iXR8N40CvIV1AboKkppwymaJpy/eSsaPq9TYVs28yAEqkDJC5UMWKVAc8o6eIy48YbxeZ5m4L773SbB6X00ou4hLV8+3OP9luYBBSjPDI+Kz9rMHHyFQejQRZiLfQucyX6Ck9Sb51i1oX31lb4dO45ktFXJFnKBpi54Ou9paapdeOUc/dzRs8f514lj1NukpbFE3KKbx2JODpnpk8hOoOgmwcpnre2fIUIG6pL9OcuDNaZQ1E15annhvzxxtOO4v5uox1RjPLIcJXfscawlw9z0VfM0tXpkPjNg4ySt6KNL5MruRgGynW8RMcpM1htH2GOHYTL1DJvKOAdPSUhEUlNOTsIb/CUe76LaeRkJjNHaRbJhSClidTkaY57b908x04LPaNEuuHrtygjiXOzhduU+AUyWUuCmTNrGN74rCM9lyguxSiPjE9PubeNEhikC8ekZfBDy/tRL8hmPmLDx9LH8hVC1ywxiMzkK8bFjIpXfSqaptbVlFOeRNMQpvS5afUr0tj1BjrvflroGTv8rLQcieOU20Qq8yXdjCJfwZ5yYUF5+DIA0AOCXHAdoOb0XutSjPLIOIUuREgXtZjKV5gLhjRqRIgFKaooH4NCLhIOVXg5corZwFMue64u3pHYmNZMrm5X4jQ1OXgh86U85ZHkKyHTlgxAbGeObMqaS+Sj5DRIGePFKbdzNPHlM0sh9mOn6lwKbTduQ1L3vK51LNeNkHQpRnlkVIvoTGGvdgm1qNOQ8fKV8K1XG18mV2w1tL5RrU+gw/Kxx1lXuZi2znPNUeHoS++JF1XJhimUod7pMOlU/L9CPgbvqM6Z0eJTz3zHx6VpKqNPWWDq2hd6VlIFNfDjjscyyoW89TJukt9ol8X+Uqs8KvQvQET5ShV/lkCF6zNs+6C6GOWRkYWPs0Li1XCLoyz5XrbQ0zonnM4AWuEIrdCUEcAh+1jIsHySSqO/KU76jqAJn/pU0VNOXaNOp1G+YlC+XPswE095rr+hzdBxysOBjVSrvtJhoae0MIHgo21V3L+RisDkHzEzA1yLlXm3QlKM8oS4VhhOgzxkb+xTI3YM5yk3S16vDG18ezyTS6xkVWdImZfsgJCtk6xnt4lcFrnqYDyARL8Nd7y6mvIOl45avuL7HgbVEkvWHvDtkv4Pci1p6vqXUlPeJOOJvf27KS4SwNjPvUO0eb5m5ExItcBUhmv+mXcfjRSjPDKy8HE2+JKvsJh63kK9v4NupKc2DLooNeVNCz0pT3krfRf+pnfF6CsGCVL33oenXGvzIIMEDaFnBUQtvgrnBWEZVctc5FtUKagwp76oea8Ef0w7DWkSZmWJLGChZr5itZW4TUqNy8BKSCuj91qXYpRHxmf150Oksd+bptP7TOkIMSEMxja+PL5xibHrE/VCmYaOpKY/q75rBR71qXhgLrslQux+cqEnjZGmXOPUoLIFmaTJMrqUTR1rw0LjKGH6GvuCgDMmzOcKKisHlstzjG2akg4On/JWTQRPeZxstbB6IgkGNj4pRnlkXIxnjNxTbpqwRudnoBv2QRtfJldykXDw0VeQYdg05cqcb/IEc9nNNAT4nuHoNro6e2q6WzaI9i5fCWghSGOyN0gpWHzOQKb2GyaVr3ADv8hlEGReFkl4kgDGudc9umVNIV8ZqqokgwEZztFXsvL7m1OM8siwDY1z9BWJEec0vS7r5GV/FfmKN2w1tL7h45Tzx1jDcIiwyps85Xr559eo+uosqwqE+yUPE4n+JmbG/MhXmokVdYP7nvncVEbnBWEZtTe51P7YCz1VWMlXTD3l4bs1DtpTzpYhknwllwo3gycNEuT1XutSjPLI+Fpdjb1BTpubaDRkfEhE66wUZcBT9YNHPp7yHoJhSEwPy+OaUx5QOs/cn7dLZ8nLMCphZkF2T/Cgndfz7vWsedg9KL9OuTuDYDd7YlOXeB2rRQJ9QvNCz4B5oxlbm3UcLsWL/dhNNmILCf7dObXFNs+k7e9vMcoj48vjhq/1VQ/lO3rK5Ct+yKkhSEWIHVptUEkBqOlhmWedWhQm9Qr7c44EwedUOL5fuvIVXq6mztP3PYztKReirzT9Xo/T78nrXyZWBe0pDyhjwk4JK/mKHxlcjAgkTW1prD4RS4XSR19Jmn1yilEeG0/TU7jDcnmpTL1EMbqM1A1DCmrTBxEIlbeGcNbKNeWSUHeN+edhk0hxCjmKNOWdWt75inp+1uComM/itWb3sPnkWNurc9970gdrlaEF7U0UQ5H5HH3zIOazj10mTetM7BjhjW1ptDqZV/wVvr00L1eae+iPYpRHxtf0FI7UoZIcmKQl88CFXnykjoc9GJhoaEOi8tZQEWJkXkrqGeoaoLnh04OlK4UR3glOz8+kR+VhUINSD4LoNqQ2dhb0rnQk8Q1JmbusjnVxXQdlQmzjKrp8paktjVSO1O+/iiJfKQSnadpZFzya9DV9q7PQM4imPHOjLAoZRiBRG4bqKVeTehjTK2qDS4mwQTGE3lVdg4PbTZUpEeXR9B99xW96XNqS/EwMMdffm1PrI3WAxC1G8hCBNl5SX+tyYjtYK6otNdh8zSlvyKe/AfB771voKIeR1AUYNLjoKw47MWANrttCND4tCnlHEabWt/FlcqVp6jgWbGeIPWP04iTmOHM+bWw1P9icOggKN3lYxX2jSkk1IGpaeG1yC3XODfk6yu6n7TS2jVc19zUN8VA7BqIt9LR8CE5xyiM/eKrOyaSAIcHvVuq+17Ue5OjUMaF4yiMjj1RhBt5IxNcCUp36HGKFuJjO4FnlvCc0Haq8yY5E6iknNOWydDXLlgpf08r43ta1PPoK7pS5+sHJV9w85ToGb9g45ZLvDAxlnx1x6kGhdFF9Iu8tV4ZICz3xXdCOvpL5jBsL6eBIsXkQpBkM6OC8U6+ncsSkGOWR8RVPnF8UyCdsrilnk5LIVxoWlrnSxpfHN9mEROTqKPKUc2UU/TtNccp1Io3k2JU6DXrR+djA11noKJZHLSr3bZCE9ZTL8tT3mLm/L/m0QLFnJbk8GjTlMQcGNrO/tusQps/HHuOwP9bEwRESHCgiNc7RkzzZWKkoRnlkfI1IBfmK5JhWWsxnU827rzqvmqofFGyn633D11EeSuok9ZQbLfWUFCAXXPSpyLis+IPasds5g4lpucmimXjKNc4J+j5KBm+2Xk+bsuY+KIxFk4QuWvSVym5gSS2ezBVqIzaZFDAkQqSb1PIVR+dU7s+9iWKUx8bT9JTQ0eOe3hKtzYOsU9dnAG3y5I1hF9UUKhWWj696NfVRg0x+vA4ORaXWf0glPegGGi30NCmT1skh5SuUzKk26pxznX63QfZT48tXxO+CRl9RGNTa8hXms/Pi38D3uyZGgqmir+S4i7IP2tgWFKM8MkNch2wP9iK5bW5Cd/Yscp2jN1+5p3Tai4+FTj5QTRtThpKsI7GXr+TXQbgYfVjyg2e1dBY64r+5kIiUfMVzBYpki/Hfg9xIw/iMvtKvBooOslj4M8dD5s18FvfesEjEoh2JKR/hZx0pT3ngAkhI3RM7G9IJdPk+KUZ5ZPhFkg7yFTZN1Pa4hUTUOcd/p1XkK8A91JSGqapjoAwl1kBkPWm0B1Qj/wxtIpc6j+8hnomQe8r5v+ULPUV8e8ojq1dE+YrBD3LWpLpd7kw+IRHTFsLmObh6yqM++yYHRyz5SpXHYIDCdfOgNlKM8sj4W+jZu3ioqrylK41TLusoAr3AbdyJyxWfU68uqKZQSU+5j4WehmVMicuaDWH9Bz5BdiH6m194TchXjDTlabsx2c6v/LfqMro6CnJqblJ66hs15ZGir4g7eurl61NTHnyhJ+HgSLPQEy90SYvXOOX+kopGMcoj40v72OEaMI/T65JzQr+zbXx5fJPLIiXVAI+ccpWcb9K45vLbZfjqLMVpeYWmXBUSkU1Tko9PYi3wk+Vp5Cm3KYNkFiInYgwcUkZfEZ6BhaPJVYYUc0BEOzjo4yER9PsZ9cY2TyPX91eXYpRHxlu4HuR+8+cpb/4+SEhEHHrPfxbZk01IREX8FVkEEOpsUr6iUTlz1PTynaXpoBefz89ESDXligER58WkNOWew6/Ei0/dy89koObTmEk9c5AL5OZBAfMTZ5TcnoOzp9zxepP0SQdHpF7QNtJNDJy7gpymwDQpRnlkfK2uxlNfLpsS4Y2IKGJvaNHCd8kZqpFOgWqAx0dfoDzljKacNLZocn/cTppyPiXh/ureE5mmnIy+4tcmD+wpb5avNO5w6/i65FT/5D81fCmbPM1Bo68o0M3V53qC8NFXmHwbpIAhyTkkog2+NmhMRTHKIxNi8yCsCXPylOucE8JT7j/J1pGPp7yHUr5CdCSyc2XpUd/n6bPp4SxfQanJ74liliLwZl5iWUImLsvTTlLiHr3B7fJQRA+JGLkMQpQi+YSdPA3HCFYx2116R0/2eByy2zyoRc8wBMUoj0yo6CveNOUa8hW+HH6aDlWUj0Ehl9+snEIlJAVyTTnhAdX4jTk2qi4eNDzgED3lEvmKIh1Z2Wa+M7iJOucGla9ofN/sKHfzMKb2DrKknCXDAQSE4yHzRn/b3AWfoVVDt8d8nZsuK3vP420elO041P0ZZvRe61KM8sj4GgmL0VfsExa87g1E6TRa+DK5YvocQqEycEhPucSIN3mEuUfbcXscgoCFO6IzezD9N+1BIqOvGJQuuXxFa/ZEXUr3OOX6+vVUxH5FqDUjIQuhmhnRj77S+2wXEjGefKRp0BnteeN7nbgtbntIU1eKUR4ZlwVjLOroK/bIPeVhNeWpG4LcSNqwKMZ3lKEk68g61COVGWBc9nk3qy4eNGpTFHmYSCRfYT5z8hVJPm1BR1Mes0qkvnep8+9CvYcxW2nVzsLhMo2UD4DRrGNIKrTOJTUmM2TNabXPrihGeWS8acqR7sql8vJeIg1PeQDdm2D8eUq3TfCzH+nKoZJqdIgySusDKV8xLEA2eJqJwgs9VYkp7n1TNCSTgY3W5kGRPeUu0VfsCuGagD9kvyWGgdHkac7dUGxDaMsuJrOOIRFmJVrwLiivSTCw8UkxyiPjbWWwwo1kHrKNSUnmKZfmFoY2vkyucLMfKeUrXIQg5K0lyiib/SEd5ToC4gxxGYiKWlneAygNiYj/Zr7gF3oS8pXMDRIWnftp8j7YzLq1aaYmFrGjr6j6Id1ceUPX/Dm6rB0xhXqf00Rf8WiXeMB11jzHkLomFKM8Mv485Xya3jY3kX0vW+jpTb/iJ5k247rq3Bdc1gpN+cz5kron84BS+JyyzA3B2GB+X6dWbB4keMqZdID+rPpOho4RGjZOuUS+Ivm9FD69Y6nrn7ytDZ83Hx43bhnEML9svhaacj/FCga1GViK6Ct4R/DU8P5Gx4WeTlenoRjlkWFHcS5eByGig8MIW6ZVZeGMgABvsChfaePr5EYuHUqFjEYWenqY7klsn2FG/cMMvjxoYkhEfU05cIM21lNuXx7d6+PLV8wGqf0UpSFt9BV1OeJqys3z9RlOL2b0laZZx5D0m3yl7RSjPDK+Khne8Mebp1wmX5Et9HTIS0VODUMsfHoIXNCtS/QudMxnytiSGaCZP3CXzhqfz4c9U1yn8pSzmnKiVfFdfVI8Hdvwdq5lzclryBL7GdCa8pjyFfMH4RoSMeaAiLqTXNsQqRxVZoItn1Us826FpBjlkeGnWe1rjKyDtkrX8PQQL3DuRlkMsvGUK2ZdyIWezHH2OVLRV3Qk5TlqAl26raaFnjLvnqgp5wfi1DVsTrronBnLGGPzMwlv5ypfyWlmLql8hdM5h8+Py5v5jNsA3d/uUwYXXlNOvPee7AMjBP1+6nehPbMdIShGeWQ4A8YhHRyZoHIYYWOvO0XojkI+UT9IZKIpVxqG4nm8JIs9l9IKNz/Z/ExyHqc6X+FBDL3ga/oYn5FMU069s0b1R0e+YpCcKfJ1BqLmVoZrnXH1sPYnhHwlkoxpuk9jjlmkZ/MUU2i6AZhZR+a7aDY5utk5+cesnmHL399ilEfGV+xVrEfjqqGj5pX8XvpHmDd4ED3nORoGwlbvzOduXR7iOjK755b74/YVfUUYQNd4TQdwx7h0JJ5yCt+1J4mmHN843fQc26QMJ2oAII7Xr2mhZ8joKxzE2gsdnBf5ul1uRJODI558JS9HiNcqlnm/QlGM8siEmlpx0rzqyCYaNitxRTBAAuSROybT9SFRdQxUXZHJXWTGFkUukWdkuBQJD2zwbBm14ItOh06EjFNucBP1BoAB5SvUd2iw0ljGPorSkFK+JZu1mTkeMm9V6tqWmj8NYGjHEDUTlMZTjqRCcbKV4iplzLH/MKEY5ZGRTfWbgg04X55V2UsgS92ffCV1U5CeXLb6Vk2E1ESnJ9Pzks9U4zHnMksgw6WzrlD4lem0aO+kaqDavHmQSZmazwnrKZckbjlItdKU5z5VAxDdWqIXeobLT1x7Ye41dl7oGdFTTXvKmeORHjiWCuWEsyzNSyniUozyyPgaCfML7uwWxcycz3zWWdwTxZPTxrfJkXw85b3Pqs2DmiQURnHKM3/evmRn01PFfMcv1ZQL955+50NFX4lVB+WKcjtNeeZVqZGU9hHfF1Ce8kiGoq18BaVhnK9FnrZQHuEkmwfhH524MfYpQWrFYBtRjPLI8C+AfYXBjY9L9IFawxqULvQ0y0pRBpxu+14mV4ym6wOiCtlHbX0uiyhE6U81nKLZem1swb+5QhakzBBShkSUpaf4Tobs1FiGrix0pq6sZ/q4Yxm4tNJWwNBtrTbRPeXyQZh29BVFGublcUzAIH2qLY2l369QUMTUPS+9F4Y+be8/ilEeGV8jYSH6CnvM4bWSd9CBNeUB0mwbtgvbfKOazTFZnNRPz9Slocd6efyuyjohQc8viZJERl8xCYkoHYjH8trJfOVsWUyScytsy/t0NwxmwkJjI+VwHlxF/Mm0FDCNp7zthqyMFjrKi1EeG9d4ujPXcmlWbp5y5nOqkIix0s2ZbDTlKvkKe15TGC+JB5SkRc/bWb6C3lW5p5zPSL55kCQjR3h9e7gHJI++YiJfcfT0ZVT/5Ot3wheyKfpKzM2DbGYLtYIWaCfmmkBD8oT+PQfbOHXf6zpjnJPX34ZilEfGl0dbbHz8VESdEXOQUbXCIzswGEzXh0UlX2HOalicRD1CuU3uNmUZGl/RjQCaNOXAHeMTostD9Vsmt1AaBjXSojeynqDBSlOdcJev5FP/Yu+eLC0HUYtcghM0oTLGrOQrjo7ymBJKsi2N6SmPk5U5Rb5SCI3uFtvNoClxJ01577OOvpQvhZ+WYxA15Bhqt8wU6EoomhYn2W8elF+r6m1HT2JWS7aAU9SUs55jtZzMLCRi8/ex45SL3+v/njbFqs4N2QCROh4yb9s+zdnLGtGiq4n2Pk30FTQAStwX+6xjbXTuZWGUV1W1f1VVb6yq6qdVVS2vqmp3VVVbq6r6bVVVb6iqKotyeoFbyGGfTAd39NxRQ08e81lHvhJjhXgL3yVnrDW0nlEZY9RiQ5kRb+Qpb9ED9ypfQV0gbxTIpUOswUQZEj6qjyoSjE+otOsa3xd1Gq6/N6f6F1sqKIUyynNvmXmr3C2pwD+Vb0vVDo6QuDr1fJOLjDMVI6kLsJc/B4AvAsBaALgMAFYDwEEA8FIA+BoA/FFVVX9etzG+DSKUfMXbAhHZVDbrmQvwpqiifAwKrjF2faEyDNlCzky50oeNogfkMiCRoZo9aEJ0+KJ3VSZfUXnKuYWeYp5G0Vck5w4pqoFP5OsM7Dpn9x09M6yAkWhy0AT1lCuMMd1sXdsRl/fclGYpYByw/ZATPmVpbSEXo/xuAPgTADi/rutO98uqqv4NAK4HgJfBtIGF2RJ8AAAgAElEQVT+kzTF80fl6a1TR3QwTUyj8wvsvWnfq+OfXAxTlaecnB6u6DNkoe5M8s8F/p6Yasr583ETIDOEBOmQxHgn45Sbqcrpb2Npyql6Avh9UP8eV09fTj4AuVQwPDIpVYwy1KgBlIVa1cWmHYnZ9pA7ejI/OlpIRPSck78KrvKzBBFsfJKFLKSu60vruv4Fa5Dv/X4dAHxp75+nRy9YAHw5n7BX1ZcRl8uIuYXvkjO5zA4oNeWUd0eqKadSp39jLr9dhq/3osLmcl0DpS3de4j5jA179cyVj+LGaglo+Yo4G6jC9fl4VD24k0kbTBYjZPQVNm+wmy302Y6EbpPwIAQg3joOFmFWIrl8pYdd9JV2k4VR3sDE3n8nk5bCE66j/961dJo26ep0SHLvjZ83GJc5dcOQAhPPYEhUG1jQ3h32uBrpoj4u/7ybVRf5iqDfFI7TOm7T98HIT67x0idZ6GkZEcW1qLlWvzghEXtQsqiQ0VcwNs/BtR2JutCTzXcmf9kZ4cg5Tnmu5QpJLvIVkqqqRgDg1Xv//LXG+Uslhx7vrVCOqKanTcBRMJw0r+y0uGSYxnvm/L8pA2iDixh4BkOiWmzU4eoK5d2pyc8z32nlnx9OHix0Pr6/sveP85Qz12NjiXwfTTTlku9jLfSkmN5Uqfe3icfMTr6STwuUsv43RbwJWg8U4Qz1QyL2Prvex+A1wmB9TkhE+Urad8E5elKOHYgBuXvKzwSA4wHgV3VdX5i6MD7gvZD26QgLPT2t2pZ1flJPebD3N59OMhbZxErWlK90YY03tk6b1O+MbCIah+eBZxfwTIRsp07ZolnciVJF87FQWLXo1Cdk2li+0vBz3BeEcam5JeaINPpK3GKQ5Qi70JPJG7CjSS9j1zY0plFMyTRirePA5BSG1mc/mNNgW5dsPeVVVb0dAN4FAHcCwKt0rqnr+imStJYCwEn+SucHr/IVF0+5xkvAh0T0jxh9JUAmmZNN9BXmsyArIuqKTJIl0wo35p9P/yDBvnIKi7Kxp1xDvoI95dTslln0FclAPNZCT9k6A8/p6ZJt/YvQJjbKz0Lmjfo09x09beQrxpdYQ6/PoY9HJaO+11VTntFP0SZLT3lVVX8PAP8DALcDwBl1XW9KXCRv+OrolNFXAr/N2XZaLcfEMxgSpTyJ6PRk2xrTUTWa62aOmnKXzlJclM3fL6w5p66TbRxE/Y3L24RcvsKWJVybIo2+opAzYFwHsTk5AXLxWlKlSHWftOUrzOfcw+lR63P4mbJ4NztFKEYZ7vKVPN4fW7IzyquqeicA/C8A/B6mDfJ1iYvkFV/rOFQdvUtaOpsHya61z99Oe9xv5LJpgsoAJTs9iWuCVCVQBlhOFpEEl8E0Pl+12FvnueN3kY6+4qMGxfKUN2NkqLp26m6XByOK1rfhXYy1iRSWeWnn6ly8eNYp6YTxJG81Jac673VglX/XIpCVUV5V1XsA4DMAcDNMG+TrExfJOzY6OQpccb158mTyFSaHGAPRNr5MruTjKe99xnW0w/QU9NbQzGdd71YLnrWvx0FOy8vkK1JNeXPZzOQr9PfxNg+iZU62mnK7ouZTCVO++3y/IhYk1toC3Kdpp+GqKY8pX+Hy7c46ssfT1Mk2OElUtNxRno9RXlXV+2F6YedSAHhuXdcbEhcpCLJO1xR+atduUQyFdKGndPGR+wvc8jbAG+Y+0zCoFg2Ti5PY49wF5jMgbWhQXQe9WKIiXegp1ZQ3u8rN5Ctm77xvyBkVqI0MLNei5jIgBpD/ltjtJC1fCekpZ/LGEUE08/W5Lif07aZ+UsVb5dFIXedZvMaaz2iwrUsWCz2rqnoNAHwIAKYA4CoAeDsxSl9Z1/VZkYvmHfZXuezY1eEaH7cGiC0FFZsW41vzKOuUB41cDAOZrhn/3VvoScscqOnXtkqVXAa9+HzsDZM9d7mmnId6Z33UH36tQFxNOf7eLCSiW1lz0XSnoOnWxRwY2Mx+uEofYj55ctF8JMmYitROsqbZmiZcVAM5kIVRDgBH7v13GADeKTnnCgA4K0ppAqIyeMyQe5HMPXn2U36hKn0bXyZ3aI9pbFRTqJRxJmsE9b1beWjpVfgz1PD24XhQTHfKsnOmU6Tz0S6Rhnwl7Psoka8wf8cNiZiWkOt3XMsRdG2BkLj5Q/XZlgQPiUjMfvmzD8zIYTBAYfUMc3L7W5CFfKWu6w/WdV01/Hd66nL6wU/lF+KUe3uZZVPZtKbcxwvcdg2bL/DsRyo4z7fSU050JKzkgki76VG3YeW8u3yFbwPY+s9vHsTcyw6ToKBeIeQrPjzlnqR2TWhFX3FMz+Sa1FVQNgCMMXvYlEfYOOUK55BFvnY7etLlCQFVv2Pmz5K6znN4/NlttCyyMMoHCV/GM57i8bVARCZfqSSffUDLVwYPlxkLn+gOumYWeko06DZhzHLF5b3Fp+OZBT1PudxApaqKj+oTK0yaLG0jT7lHT19WBkpkmiRDYXf05PN2la/YEFO6RA0Efa05cyG1j6xNG0CFoBjlkUHLV6zTwZ5y8GTsyzcSkZUjTK0fRO+5qx7SF1zW6DFQ2mZ59BVKP05LFci8M8XYMMH3DHnDqNkHdBk/1Y1Gzq4hEeXyFbYscTXlNR6tNNSM3GNSG5GzfCWqpMIcn21JcPkK85kaDLisOSu0l2KURyZE9JWhqnLyFBk3ZJ4txtL2TOMzcoALvLwCacolBiRzAfWRvJ7OW6OALQaHRMT3Y0gyIlIt9HTfPKh5IB5WS0wN3uwHqa7tSVnoqToecHDGfBbXSZnn6xoSMXS3ZLJoPiapB6iuA6tK0oa2hWKUR4atML6ir0CFKqLx9DqtaWWR6xzdSd0I5IKBYzAoyugrVMQAmaac9IAS37Xg+bvoq7FHTGUsyKZeZRKX6bIR6XioP7Gm0qXyFVtNuUV9yskxIPutORQx1uBsep2UmYEqbMTlGLkjNE2L5mM+8FjrR0yxe4btHlQXozwyvkbiwu5nkmOm6HjNYlT5nBqGWOQShUQ1vqO8GHJNOe0BFb7LZIZAhUup8G1g0+p05IYEe0S5eRBllHuIvhLL40S+60i90tQ5uy4QzmVADJB2sXPTU4614Hd6Rsn+eh+EllCaLJoPTU6trs/b3kY7ohjlkVFNXRuBGzAXTx7yulNIvTceKn1bvachSdkx855yJF/hzqM6EvqzfuY2F4XH1+Oo0KxWR2GI1JKbiesGKV8xKK/UKNdPwgnZu247je0uX8mTGAZG02LzdLtMapzDfLZ9X1N5jCv0b+z8c0LDHFGSKqykL4pRHhtvnnI2SbuV6hSyl4DzlLdcs5Ur+Sx47OWONwCiOu1Kcly6gK/lOO0DALwRjbXisgGRKlxmqPFbNANFMiiPu6NnPvUyl0EBGX0lkoxJ7NOaM85lplEXsi1NNSjI9Ia5Rl9pI8Uoj4zMgDHFdaqPS4v5rOOhLfKVMLiGgvKFaoBHSU1Y7TFrPJKRVoj88hmMyHGZVsZnywzvSrFgm1v3oaEpN0EqWePyD4esTnSY2OwxZU2pY+XLs0/fKFK79PpC7NPMDFTTfiw1lEeYXeidKvpK6gGqz/zbOONejPLI+NqpUdVJm1ZqPpKL7Cz6QDD5SvveJWdy0VbzEyFIvoI6TvZfjEwrrMw7077U1/PAewoIHnDJ1CuWubBQbYoP+Uq0hZ4aaTd6yhWSq34hh5CIQdcWoLRN2wIfg/uY7Q8dyYoelIcm1gBcB1QLjK/PtQ/RpRjlkQkRfQXrVN3kKxKvGSdf8Vvr2ziaDQFl8KZAFfWA2sQG14euUaRbvdv2/J3WbABwDxcv4OQ7R1YKJB+EU/gYRMRadCaLXW+ymZa7fMVfWq6kfPebQyLGKYfYpjRf43umMXycckq+Ei9/llxnFpz3H2hX1wIAxSiPjq+FnqI3yD5dnQUysncjVJ1v4bvkjGrXxpioFhvpDBy659DyFdoA6+Wdf+dgWjflbyrAFKeDReESWSmQIlOqQzXylGukG9tTXoO9HMG1qJnaJ1HaxCbDNvWMie71tu1IzOgndCQr7oyg+ctIbcj63GegjXZEMcoj42skjDus8As9q8ZzbOnXBYGm6ETBiYGqY+JnaJg6QdQ/G1lSrgaRy1oQ7PGVtgFYRwv0eUJIRCJPP3HKmfzdk5MiS9vEe+06gMhptiaXgSm50DPSfarAsQ5bXhvz3lODTp+ecpN2Kq9219E5ldVvMacY5ZGRTU8bgzoslQ7YJC3TCu1FU+6eRF/AP4aUmnK5gSPz5lNGq66kvBXP31OvVUHFL4zt8PdT1imzMhetzYM8xCnnNeUB5StUPPvaMPqKx2nu1H26fAYq/JuSUr6ikiulcNIEl6+Qkaz8eXlty5/VALXIVwrB8eYpx943+5eZPV+mV+UMsAiLqlr4LrnD/Gj5gtvwKL01Uk+5WP9oY0vMr3WhzByuxbpx9doQRlOO0uDSlORjUCr620gPQ89TbiJfcWs9ctXXxoa6DSGjr3B5g3mf5nuhZ+ifStXvZJpy5nNqQ7Zf9xnQpRjlkRlyMJ5Z2HBhQyiig0ullstX2HP8VnvSsB9Aq5xf9JdH06KwyRWecvpaHXL53RiX9wufL1vsXQEKichpyuWecjL6ilkRSaI9CS1NuToJ17KmNkR0iKMpbzoecMYE/W36TH0s9IzZ+lCSND68rNu9Nro6o3bX54xxTl5/XYpRHhkXbSoLNo6c4ihrGIPSKVWjnMKl0Q+YGCEhUc2EyKaYqfpHj7UI77ldMaPi63kIHkCV3py5znTzIB8hEaGiBwi+kUdfYYpikl7LPW0pB6aNs1ZB5Su9z1bRVyxnVuTphW2ZSCmgR0+9bflzao9tXoVK1oi2hGKUR8ZXRAOhM/cU1UXrJYjQZ7RxhOtKLjIOVYcmkzrh+ifrEJoWf6Y2iPQwHPQqPHiqlPh7qPICkgIWzdLJz+QXeobUlEuP9D42/RzHGcg2tDY5xCkPWQRRkkkfk1/fw9pTHnFARO75wB2P98BzanfbPqh2pRjlkfE1iOOvrZw8ebyhRZ8jM9S8LPRsMNQGhTw95fwx6SY2wsIsOu3Gx5ppixpHviIftMui3uD0VN+ZknbzoNrI8+kuX8lnZCjLPgv5StAFv73PFZh7u307NYJrypnPPU25v8pnW/7Ufa/PePNtNCOKUR4Zb/IVmXEErkaD1CpvOsOeNr45AdB6DhHg1z3I5Sss2GiVOz/buX7AZSE1Toc1NrCxzd1HdqEncx4eOLv5yRWSNbYsQeUrxHeoDpl0zj7jHKcgH3mvWJBUr6qWfIX5bGvcxqrzQvqkp9xj+g3wtyufBtnmXczn/bGjGOWR8Sd3knsF3IwGyffSUoR5gfNpFuLRBk+5rOPDU80mA85cNk1S4VIu3PfKNPsVIMkI5ylnz9PxlPuQr/gZiDQhlzrp1wtXo6IN7U0UOUNDFtEGZxZ7b3iZ7IjYANG7I9PHQ5N6IMris461cb+TYpRHxpemnPWwDeEGzHRzE+bll4ZElBhgPtqNpl0eB4ZsNOU9hMcg6fgETbkk7abHmmv0FRZn+QrzmY2iBJW8fVDNjIWKvgIObYoJpKccfd9UL5yNCsX9jU1KA6nJMeAaEUSZtyBfMU2A+ezlFoZ2lfc+zmwexB529ZRblj913+s6YdzydZ7FKI9NKPmKr4ZcJxX/IRG9JtdafEy/+kAZfUUygMMNoazzbuv6AV+DXkAL2ARNOXed5DzPmnLZudF29JTUiUGNvpIL1H0I+6rKtcR68hV3p0ZU+QqRLx8SMWz+LKkHojJsipWT19+GYpRHxpc2VblS3cGTZy5fCcNgRl/pfU6sap35hJ8C69ll6wre/VG60JM4kItsR4W/QW+DplzD+MclocpmtKOn5NyhaC4nDflKw89xXxCWT3uT8h1oHHDGvE2GkiRVSEXtLKNGXyHqt8fZKdvLUztJfM7Kpf4tNhSjPDK+RuI4MoFbnPLeZ7l8hf7sA3L6uoUvkys+V527oJInybxRnCTD4dllapNzmP48YVZLpimvAGQDItZTPoRbbUdPuYxYdVAWz573JOoXxtlTnly+QhM/JKJYklihMVUbaeng4xmGvt2UM6JSOERCwjf5+XS+NoOkIl8pGOFrIQfWXfmKUy4jbEjENr46/vG9+YUtvIGN5CuyWRVkyJuERGzF83eYiVIhhkSk81HVDdeaIp8dYw2EuJpy4UCTp5y7zLysbaiCMWi6DbFCY+LBq9b1HsoQs9Wl3mnf67V0ST0QLfQoRnlkfBnPeNttX6NDaQcd0FNOMYh9pI6MKAYqiRX/d0V86no5DTTlkrxzwpcnadrwVshXuLNr4pMYEpFc6OnZUx47TrlpSESf8YxTa1JlvyWGB7NJQhc2+opcE66Trfc45TE15TOecvb4oMpXep9dn2MrHD6IYpRHxldH57xSnUuLN/CNrvXQUZAptPBlciWXX6ySWMniZeOoISae8jbgtDkXkqjIZiJUnvKOYsTmGhJRhq/1L02Q0ZfA3shqu3xF9mvjy1fE70JGXxHyZz7rGFc+BvcxQxJSi7d9DoRNyp9KNtOEzWPM1bGjSzHKIyOLvGCKcutuh3R1Fnr6lsoMoP1N4jI48omqY6qJjkS8RhV9hTDAPHpGomBYX4WQiJKOF0dRYi+TDYYA6Htmch+1oq9E9pQDmBlZrkZFaYOmaTLkgg7OBPmKoYPIQzsSdZaEKG+svQEEMmp4fQ6G2vhaF6M8Mr5eesFT7iBf0Zq6LfKV4GQjX1EMumQyX+zVMnl+uSxwVeHLk1ShN4wfvODoK+xnudeYMl7MQiLSJ8da/CVbZ2BkZDnLV/Kpg1L5SmxPOXFTw8pX5HlryVc8P8Pw8hWxvL6cdgCDK1/hrmmhIVGM8sgEka9USMDikK7Ooi+uHPZZMWmovaeDQi6GgaqOysLUYalDvz0/J/kKSoe9V1OdGh1jr5NpypF8hcjTx+CfD3PpnJwU6Y6elu9Dv9W9mDTfu4CDMzTiV8no6ATYPzzIV0Ib5ZzxWc188pW/yeWZ+kKco6+0kWKURyZE9BVnT3lq+UDpRAFA1kjnBTYwZz6z59QgfaZkR+OhM42JaWepmtXq4GOSTrnTURiopKZcv3yyU2NpymWYvA+utabOqA7Kco++0JMoSMwBj0v0lTYYZtS9ziGcX+qQiD7rWOrfYkMxyiMTIvoKjtrgsuOgdCpbOqUaptK3cdW0K7l0KrI42tN/M+ex0VfQYFMafUWyqI9KJyec9gGQxqwhZh4knbJKX01GXzEon07EpZDWmI/oK9y1jh1x6jqY80K1oJpyVfQVnYWenp1LoQ066vfy0gtX+Yr+9VUOowEiezv5Sr7vjw7FKI+Mr62rVYtinDSvzZJy751Go/N0QPAd0ssWVV3qYCOy91fvYy3vT9o61vLW0FcVConIPnP54BpHaeHLRuXjVkxPSWghNX4M6oqrUdGGapnDuxM0+gqSZJqu4/Ah/8NRpEIS2lPeD/IV57UiGbwzphSjPDJBoq+Ahf5Ocr7OVDZfDndknrJBIxePsW5dsom+QpFcPmVIMPlKJX/PgOjAZX9P56N/J2XnxnKeke8/mm1pjFPusRCp62DK/GVrRnrHA+bNfK5m/s/g+hbI/1io+bPQmwDqkLrrdZ0lj7kuIATFKI+On55O9JSzydonrCNf4afYrLNikmjhmxOCTHSt6pCIzHlAf8bSA+56g7xzwld0IwC+4xXilLPXsZpy5rO40JOQr5hoyiXnxlvoSX9na2S5FjV1HdQYl0WB6guStdQaGftwasR89JSnnJ1Jjxl9JXWdZ+EHZ+YFy+inWFGM8sj48j7hiusywmZPxzGQKUpIxDDk4ymX1yWZ91LQlBvIV9o2KHPdB0AepxzvzFuTn/U85e7wRnlATbnG942ecsU6CJcyZEWEQjZlEbQeIC+9S19pW//jtruEptznQNjy+pzWc7k+j7b1LQDFKI+OTDPaxMoNO7nwaSpPuSk6HilZ8l529CQ9Ze17mVzJR1Pe+4yfgnShJzLkjRZ6tmDa2WkdhUI3jr1hMk85+1nwlJNxyk3kK80HwspX6Dph8j74NKZS18FcvJaxi4EHYab5++4z4mrK085KZLTO07kAubw/thSjPDI2CzI/esEdcPonL4eXf+mamYZHFTHFpTHRicTgu84nbwQyge+UMpGvYE85ZxxKrpn5P7e8c8VZvqK4vzJPmWoq29lTriFf+c9f3A7jk1MmqWpD/bIa7N8Hm6rXBh9A7JCINsd95S1sHmQafcWyIfElA9VB0NDj/F3lKwblTz0QZVFF4TFOqwXvNaYY5ZGRecJUfPmKFQAAcNPqLXDrA1sBQFwgZsPkVAeuuudh2LBjXCMt+kAbK32u5LLgEcUA4Y51JIVkDbhOR94d0PKV/PG1jmLaAyjRlCPvYC35rLV5kIcKhKVsX7vqPvdEKTSkTo2ecsc3pmmBY0xSGkhNi2uDRl9BpIiTH/PeU3XOZ/62jyqnPt3uXYxfb3wykroAgwZnvFjU/u1jk9Mf8AIxixH2Jy66a8bgn0lLZ6Gn75CIkunrQaMVO3qy5yk6ELPoK3nIdlT4k4cB9yOFxV6S91hlNAaLvoL+vvn+LdppmkBLmpCsx+D+u7YdyeugpACx20SqXkSLvoIHqBr5UgsnncoT+H5Ti7dTRQ5JPRBlcX5/M/otNhRPeWRcX7rJTmf6WpSmjVcBG+QANjo+wwsCpdF2lq/fAfdv2j3zd0pvmdxPzn8hXehZy59p04Ax541TurhsHoSNDTFOOf0eKzXljnVFLlnzJ4tToTN70lQvXDWxpQmaplG+EvBOuQzEAPw4NUJrqzudGpas3AQ7xyfJYFt82+sqX4l7nS90HT9aaaX+MRYUo7xlTE7t1ZQj/Z2NLIaC2h1wOg/6c6g638ZV0y783TlLub/TesrlszkyvZ8QfUWSdltj0ru8XyrduCBfkbxcnFwNl43Ur5iVkcI0icmpDtz2wFaYnOqQx7ePTcBnLr4bvn3tSn4WgDo5cp3woUf2hSz32K9J0jjleECo8et9LBgP/eQ/cN4yePmXroUXfe4q6HTEtnSI0Yz97KY18NC2scAlEskpyILNq5i/W0dNka9ExnUhx2Sna5TLO3O3OOWy76vGc3zi0i50703qztWE5et3cH+nDYnY4/+z993xdlVV/t9zX38vvVeSENIIIfTeg6iAiI7KqICgKCIjA3bGPrYZy+hg94fi2FCwgwpKL9LFUEMLJSEJ6e29vH5+f9x37917n7Xr6fee7+eTvHvPPbucfXZZe+3vWktp6MksIAHvKxma2KNAVK7KypEKaxCFbZmmjB/vfOegNtJWfsoVdeWhfvD3/uwh3PTkRpy0eAp+dN6hgd//96ZncOVdZV76rPGdOHHxlHKuRLbyyLF65L3vpTlv6VouOW53cE7RQTw9Dos4+tFP730RAPDClh6s214TuCvvnK32E+t34uwr78MNlx6HJhNfxQJs6p+ltTLaZs/fXFBoyhMG2/nX7ejFSV+9DV/6y5PG6StuEUXDr6gigUkXaMn1KCauKAfh5t19OP2bd+FVX78DL23piS7jhJEd7yv8y5GFexePfaX0FYuys4Qw1QpSMZjfBGFbRm+zNey2qa+sr4lygGqc9vQP4qYnNwIAblm1kdSWVwRyAPj2rc/W8iV6hepkgEJYo8A8LN1JbDa0xrVxViFwomSZPArblAQnoH5mjHiBD2U8s3E3Vm3YSabvGxzCjY9vwLrte8jf80tfCUdDitTXewoohPKEIfax1Zu78f3bV+Pe1VuM0lc45cOKCSxUPzQaBPFPXK7P8NUbn8Lj63bi2Y278W9X/yPSOiWJNGVTGa9Z/C5zk6kSHvJKX2FhW90gfaX2Oagpl7V97ZsoLJOGnhEIFzZZsFo/ABgYUrdSc5N64VS5fKUQ5XhJe2OYFfoKVZE4va+ohDGTUlX0F7f6xAvKpSxFu3liHS2Uf/76J3HhTx/C6d+8C3v6w7krzaguBC41y+6zmKEQyhOGjLN93+qt5PUhQfruGxwx9FS5UjOYTYZFqb6Sl8wTg6SnRzFx6QLK2ODvz9U2NxX3kXlEqoKBwmiAfy8spYkXJmWLN/muM+J1RoWo/AerXCJCpKFJOeV8I1Fj1kpTLrkuzlWqpxa1df0SXnkFLU21pYfK11ZTzsHh9eSd8hId1O0Qq6JcxQk3oa+E6TNEuri7BEcJHSmZmv9k61iFCrO1ux83Pr4h8Ltz/VMeClG2ex5HdSGUJwyZ0LFjzwB5vaIZr6BvILgj9uBZz0IV4V6EjLrGRW+MWHCKchCOaqsPM4lUva8oTl3MNOUK+ormXWcpiAUP93rxxrGeWlPO/PbI2poLQpW7N1pTbl4/uR2JeR4vC0L5gEYo5ziypEtUu41alHNS2n1QqgBJWMKgXSImU4mA0bMRwkvlSSoFKPofVfwT62lNOYteQi6wCh7EzfnZEWXd6Cu1z3ncbBdCecKQ9TGpUC4cA/cOVDTlTJ6BTPUdcQ8xiMt5WWrKY+rzrhPDqPY6EcpTlAuUVBTme0kmlVu+vbzNm9bVVSQIGnDWGvKXD6zB+h17RrKQtDvojXQUgmXQJaL8QURNuU4oby6pNeVhPGmEFSrSPq1JNXiQpumS0pQHy7UrOZoWjPZpZafTQK2+VN/r7hvU5j2oyNsEcfS5oWHfyXtM2FZPe/yGRSGUJw2Nptz3ffztiVfwx5XrMDg0HBDKK8K06JrO1tCT2lkrqqe4JwJDT+qaY7aj60ZTnmLZzKzW3T+E79z2LP64ch0AOa0gqCmX0VfU17I6oUYV1EOMKSAazorP/73bnhu5j81EzJOgr9hoyiW9LWDoqchD1JTf8NgG/OsP7sFvHlpL3t+i4ZTLIsfKENbQPQ8bwySqqBuL9u5A/QAFU152uDUtincYJ31FpDA1gAAAACAASURBVHQNEpMpRW/VbXABCV3Qsf6mz/3ilm585o+P44bHgtSZoWEfp11xJw7/4s34IWPgbVuBsMtBDoZ1APUhweQIsgVw54hQfvezW/DunzwIABh8y3Icv3Ayd19FmBZd09kaeso15fq00dNXohs69aIpT1MqF4v+8g1PAQBmj++Q8r9FTrn0jeqCB5lXM1GE2YiK8jSbFyuwiLYh5WvlK77shCJQNwcYUNZ0WC8Yen72uicAAPeu3opTl01HR2sT93tzk1ofZO99xaiaUsj876eBrGxMqWrY9Pxt3f148/fvQXffIH58/mFYNG208n7x9Nc+eBCb3q0R4/J61TswJKWMAgynnPjNRAtObXxs3pXLY1/8i3/gsZd34sd/fwEPfeJkTBzVVv3t1lUbsWrDLgDA565/Au86Zp59AY71Spt+FhaFpjxhyDrZzt6yUH7ZNf+sXvvANSsDA7JCX1H5N97a3a8VdGXW2taGnhnbimaNU+664cgKp5zFFTc/I6UVGHPKqWtZ60QEwqzVypgCQnuK5VQ0ykrFcUhOuQwBDxiK11SZvyjsJo7fmxk1vKhlL5dlxynn09rdLyJtoVhafCIuEXX8FfM6fO5PT+DZjbuxfkcvPnTtSsua2G+DozD0tC3TBN+7/Tks+8yNuOTqh6X3VPsc0fnE03Ig+J6oe1xh+oofe7nGdX/oxW3cbzI6rlH5zimJvLK/tARQCOUJQ8cp7x9UHHEB2N03gOFhIWaiF9zhV/wAP7l+J1799Ttw/lX3c3nL6CsmWrOoBcYoBTVRU37705uc8okCl//2ERz+xZvxl0fXW6dNl1NOFz7sB7VZ1GcfvtX7i0LDlSRCC30S7yuiZxagplHmOeXy/FTXpPWR3GrjfUXFe/URpDBU8t7W3Y8f3LE6mMaSU85tCh2W9Tws3klXkRqLNtTlO57eXP386Mt6T1hi1vxGX19wFF6c4ph9/usvqzAw5CvXIk/4y4Kir4guR/sGCUNPi3dlO37E8T6us5X73trsLlqGjsxqyRrIGgqhPCOoCOXi4iUG4bjmwbU48Wu3YXtPbSfqEV33q399GgDwvp//A0+9sgu3PrUJ/+/O2uJnS1+J1SVihCOnrZk/Jn/PTx4M7cPVBSvXbMfV96/Bxl19uOjn9v7S0+WU09eHffl0HYjoKblP730lm1D5btdBXGRYoXpIaBCx7SsaZdYJkygshfW+YgrfLwsWjxECFqUNr2BwyA/MNxWvUjK+KbtZMQlmGKn3lbQ3hikWr+vbNhseqeJHlneAvmLXEKGFOUV+caMSHZl6ZIq+Igrh3cQa5+p9xQRrtvGB+UQ5RYxAKiob46oXkN01xBSFUJ4wJo5qw77TxwSu9/QPYXBoOCiUEwPyxS09nHZJxb97fnN39fOfHllf/a4SVHWLfBJrlruPVVGDMIwXt3ZLbo4PL24NF000dcFAAhm3WaRkyOkr1FFsZNWLDaHoK0I+nQzFalfvIPNbUJSoeClR2HlKvK+YQ3avqCm/85nNeMeP7sfp37wLT43wRStgn0PEwNAwegShvbJIywQ3PoKpu3BmnMY+SWyQCZRJjBMdBcSmDjLFj6J0adnW9BVXTTk3jyXXK2qa8mDFKU15hcZaQZSKJ5PHXrOVp5z1CXUUx7UNnSXKds8DNVJEIZSngKvfcwR5vbt/KCCU/+Hhl7X5lTnl+lnoifU7ceJXb8N1K9fJNeWwW9Cj6fPhjFRYUMerL2+jwxDHibAidWY15VL6Ck/J2CBxhUX3l4jJoDHD3gMF/33SqNpRL3/iFRRAK5EveZqLoCknGk0WpIyCrRtUAHj1N+7A5b99FK/s7MXA0LDSiG1gyEePIDRUhPKSRA0ueqXRI1zHiZqPXA8I632FXctEzSkFX9iIiXYq2vQRbK2ipmaKGmRpuSPFUs1E8cUDmnLipMpunrJ77jWC0knUhIvyhZVQ7lyrkTQZVWiZohDKU0B7C93su/sGA8fZV9zyrDa/EuW2QYH3X/2w3CWibIFmOeUR9/loI3gFM1ubhlAeMJKze8hMcsqH5bxNNsXA0DB+cMdzZB66VsjqdBplcI1JjJcCWRkVVA0imSLFhVucT9pbSlJh1wa6LK6+/yV8/k9Pav0oDwwNo7tf0JSPCCtGtbR8lNDTSdrsFSlVMH1DT9cadLQ06W8SYBu86j9HPP6U00ZAXwmdgz6ybQ3l+lLew8QAgkAw+J+46QXc62+STjTODgjl/aJQ3u9Ul7wL2C4ohPIU0FKim727b9DYpysLl36rpq8QhmMJLxSugjrVfGu3haOSuEA8clRpEimk6X1FJoz1Dw3Lva8wac7/8QP450u1aJRnHTJbWV4eThjD+MHmNzIeJnS1kvdRNLSKhpHnWPM3dQkeh7pa7TwQmdJXKFy3cp2SugKUNX2fv/5J7lplEZctumygFZORENaPfJaiGGYFUUb0bDcQykUNqY1A9l9/WYX7nt/KpXdCyH4kQqSZSIsdKXf62I7AbwNDQcN5Uan2p0fX40mDyJ+68gGz5xY136JQHo6+YnwrCdsTlqyhEMpTgEyLpVvcZChPYHZp9kgmCxl9xeM+uwsoFEjvK46LJFWfNDTl3X38pKQyhKPgpTgyZYvhrt4BaXARdjO0vWeAMzyaPaG20OhiXNSjZkR85pamEsZ1tpD3ioJQy4j3FZ5jzacRhfDONjutZNgm1/XtZzftwj2rt3DXqppyKVWq9tmkT4TtNVEbCYaBrPREOOW63w3rIEavlJ0O83mrvaeoNgTXjQQ3U6U3QdRvnvKKoip35rigUA4EHUBQSp6P/+5R7rvNBsr2uXf30idfFYibkY/+5lGLIFLhkPclpBDKMwRbwa0KwkBMB3sjHLY896QUIqWvEJmJluJJoEc4rjcJlcwiVU655PrOPYP8wsn8Jj5vBa3NPJVCt9nK7HzK0VfCZ0NRWCg/5RVNuahtZyEK4baachlMF1GdFuy+1VsD16qccoMTOPtFNofqMQapbkw1hF5TZYmoYFKFmCeLDslnj6IJozg96TPWlJcrPH1cO/n74LCPvsEhbOvul+b7j5e2G7WzHrU8egeG8JN7XsBtT23k7gjQ0TSc8k27+vDgC8F5QIcog4LlBdmKtNLgsBXcKrA96lOVJfPkYuMSsXdgCL6PQBQ/G7gK6lSyzbvc+GxhEFpTnuLCrApw1dJc+5H1RSs75eloaeI1j5SmPAfzJn8k6l7hSttO7GqFaC1CmYa0VA09a9dEQTagKbccd7ItvUkkQQB4btNu5e9iYBGgRu+SUWTsI3pGd3qXVU1b0uMkjGC8tYefc12VQJ7n9tyupx1Rv3tT2mKl2IkSatv6Hb1443fuRnffEH503qEkzxwoj8UFU8uRU+02MfT4+fatz+KbtzwLzwOuvfBItLc0obW5hJ2iplwjlAPAs5t24/C9J2rrEtZjStonXWFRCOUZwi5FVDwVShJN+U/veUGaZrVkIfWqXs/FgeERn4JYs7UHZ3zrLvQPDuNXFx6J/WaOVdxdBukmT5uKBqUp2NpTjnCapKAb1JTbLUqpasol7dTTP4SWPbXnYjdd4nFmBZ2tTYKRZBBRBP2IG2H6DnW6MGk0pSkPoiK0ylxRAkEhXOSY66DytmOCpwX3iCKe2Rica3oHhjEo2CiwuOLmZ5j6xU9fiSsvp/ItFCBRQ0tfMcxn064+7ruJUK6jECW+d4+EU25IX/Eqf+mX/8nfP4ZtI56aLvjJA/jGWQeS9z380vaqUG4DWZ+/8s7nAZTfzZu+d480PUtfeeCFrfjFfS8F7hnTTlP21PUKNxrzoPARkSn6iud5szzP+5Hnees8z+vzPO8Fz/O+4Xne+LTrlgTEicwUMu32J//wuDSN6GfYpAwK4q72c9c/gW0jnOLzrnrAKG9y4DiOJipV/+AwGVwhTojlWdNX0pYMJGCpCqxHBZmXgbKm3Bx513KYYhKlEfM8qXaaM3wUNeVt4TTlMpjSV55+Ra0pp/DS1h4s+8xfcdOTr2jv3dptd9LlMnNkyZ9xVkYAVQ/Tdlq/g7fjqWzCVOBy9rg/yrKp6+6ccpZqFx7mmnJ1he96thYdtXdgGO/92UPkfZt2u8kQLNjnlhmli2A15e/+yYPafE3hFDwoYmPdpJEZodzzvPkAHgJwPoD7AXwdwGoA/w7gHs/z9OceOccrOx2FctgLM+t20H6kPYmlJ2foqRgp7FH25t196B0Yws/vexG3rtooTRMlZNq9rbuTpbCIwVJ+cs8LAd+uKqQtnJpMhiZuzkSvC9QCmoeJM4xFP2XISnPKg157KmWxeWg15RFxyk015ZQm3AR7BoawylI5IENo7qnCkDYrSGLjEJVLxA3E+rLokzfgmgfWGJVdeQUmpySUhxPXVxg9fcVOUw4AP3zHIRhledpVAduGUXDwl0w307qzShk29oKsbipE6X0lj8iMUA7gOwCmALjE9/0zfd//mO/7J6EsnC8C8IVUa5cAfnrvi07pVBE9nfILkXZMB39E9f3bV+Pjv3sM5//4AanLJp1HDhvIBvSW7vAaBBuImvJbn9qEt3z/HuNww2kLBrriW5tKaG7STx8dIn1FwylP+7llCBXRk3i+iZRQ7gUDhVQEY5X3FXEBj8r7iqmmfLOhdm7xNPtjdRfknZOaGTtPoiKmTbueEMqHhn185DePONZMviaIRoeAvQtasrxI6Cv29VixZCr+8clXYdZ42hOLCuyQdfdgZi/Ym6xrpnlxdEazJEZ55QWZEMo9z9sbwCkAXgDwbeHnTwPoBnCO53ldCVctF0iCK82WodIairyxr9/0dPXzD+5YTeYdZeh12YK8rSdhTTmxUKzf0YuVa7cTd5eF3CxB16dMXJwBI5zyiI+E04btRE/dz0b1rMADMCAYcFVS8lpE0ftKOD/lMhjHPTHE0hl6+xJX6OwWdKiHfhk1wtBXKE25VdkjL9TkhIqiBsoiCuvLZcqLwvuKoaZ86hje60prc8lpTTA93RIhGz+muVWEclX/cKmbk2hT0FciwUkjf//q+z63FPi+vwvA3QA6AdDx6QtEpl2Rel8xLGtsh9yYYwwRrSxqyMbgloTpKzLDzr6BYby4pTtAU6h42aggbY2xTktq6lmnvaVJ+yx50GaEoa9Q+dCack+qKWfLFL2viDQik0AtfJ1kHlCifS9LZ4yJND8WUWq30x57aR7A6165aY9Y7yAU84aeI38NmoKaa2UUCh2iPiUxcYn43bcfhMmE4Xdzk31dOE25DX0l5BxQEcpVtlvGmvLsLwexIiveVxaN/H1a8vszKGvSFwK4WZaJ53m09QOw2L1q2YdJ5D0bUAPUNKLnaIXgTU08gIy+4jYy2UmktblUnSxsjcXCQua3+0t/eRKPr9uJxdNG4/r3H1OlgJT/JmuMGgadhtpYUWDU01dSl4hIhHG5x90/ks9kCadcdHVWSctF9BSk8ibhu+184EJf6WptsjaePsLAHVoUsH0/f350Pf7nb7KlJ3nIjerTr4cxfWW7fcA2nRcm2Zogm2vDIhL6ikZT/m8n7oPXLptO/tYsifwtouTVhHGOemJWxQDY5zZ1e17hlG9TrLOmAr6OQqVD3k9ms6Ipr5xr7pD8Xrk+LoG65A5l/8bRCDOyfLiQ6or0IqecxYQuWiin4E5fqX1mPVwkLZTLNOWPryvz6ldt2IV/rqlRWcS5x3RCTgL7zQxqOE21saIRYl6DB4WpF7fIjPydSNFXvHJIbS4txSkPURcbyITy1qYSbvrg8VZ5HTB7HPaNUVPuGtzp8XU78L6f/0OWVcNBNz5NBSvnQHgCTKJHR1UWEJ4GJUKnKVfRAMXTUxlYBYnz6ZahdzUZKsqvLYp1NikBOaN6HWNkZ+VXo9LMyvfq+/7B1D8Aq+KvYnrw/YgNPS3yEsesigcni94XJdjqzGBCFleE4aRgor15mdEmsS7vvvKm/QPazzQxY2wHPvoa/rCpw5BTXqavuGuZs4goHqGrrTnwjj14AbdxlbLYxTbq0wRZbjKhvK25hIkWG2wAOHRuvF5tXVvk//7+ApFZyoaekutJ0Ly0vsINq+AiHJJlG7yKnoTd3dpAZ3Da1ixXbpgY0gO8goRtQ1eDZ45TbphFX/VEWm707eJ9JfRIzOF6kxWhvKIJl1kCjRHuK8Cgq83OF7QKVFTByvXaZ3lpakMPWRrimjQXNdjyj9pnUvXz/c9vdY6Y6gKRG0zhhc01F4lsG7x6v2lxVMkZ4ztbcdR8nnpgTF9p1ffNPHhf4Y2HLA09Jc9HbWBFP+VUMKyo92uy8Twkec62lhJam0tK+xERHREZn5rA5v3s3JPcnGAK2fvIAn3FFC7R3l3ngbjm9ShcUOqCB7UplBvNhgOdNRrnva+Yg7eZqaU03Vzd9OQr2NEzoLTdcmpOhz7IPUsOpfKsCOVPjfxdKPl9wcjf7BD/IsRoQ5+kryWEtcXTRuPVS6dFpj2zzUUcaKohIBvg0XpfqX2ePra96oatf2gY97+w1S1Tl3oY3PPilu7qZ04TGkN9wmBcVwvGd/J0C5G+cuHxe5NpOxWGnt19gwFXWlkVysPRw2jPKccsmMTdta2nP9AeVU05s9rqOOMUNcYF1IYAqGn3KA8yMkQV0EgG1/lvJxFFOaNdMBHo5i1jXrCLppxwhWdiYE1pyj90ikyUUCPqUyidprxdoSlvMdSUs55bXDcSUWwE//fmZzgvZ6Pbm3HiosnV76YbtbCCdFbtkkyRFaH81pG/p3iex9XJ87zRAI4GsAfAvUlXLAm0tTSRgVhWLJ7CfRePuw+YPQ43XHocpo5pjzbMNNGpOU05c10cPqpJWx6RzaJyGnAGcR6wiPGNvD1Bt4gmi9cLjFDO3h214W5YjO9sxdhOXisqel+57OSFuOKtB+IPFx/NXZcFD3pk7XYc8cWbccSXbsa6HfZGYWkiqu768VOXcN837uoLasp9/i9Ab1w+9/qlAICZ4zrwpoNnWdVDSl+Racqby1M0Sw/TIW6h3BVshNoK0h5+cvpK+jCnr0RTnomLQpZT/tbDZuP3Fx+Ni0/cJ3TZkXDKNYaeSk25Iad8GiOUs+tOFOuqDQ3pR3c/z508veuYeZg2tjZHmArbOgqVDfJIl8yEUO77/nMA/gpgLoCLhZ8/C6ALwE983+9GHcLzguFsv/CG/fDD8w7lronHWeMZQSk6l4gGw0Bxg2oythkf7oEPap89eJyAOxyx32UVTCazNdsYTjm3mciaUN4ScGfZIvTF9pYmnLF8BpbP5m2x+4eGyU3c+69+GLv6BrG1ux8fvnZl9fe0A7fI4Kl2ohrIjuXnTurivu/YMxDklFdcInKeKYJtdM6Rc3HnR07ELR863t4loqX3ldYRoXz+5FHGZVTq9K5j5lnVzRQmGlUKlKa8oaFpu1g15YRFtMl8sIfRlE8f24EDZo9z1pZyqSIQ6HTBgyobXAqmxv5Tx9TsO/gha/4A0o2gZRuwgZxGtTVzVDuXjZrLa8zY8mmNTAjlI3gfgI0ArvA87/ee533J87xbAFyGMm3l46nWLmLMZLRMi6eNDhw5U2F2RVdoLKUg7iMb+fGW6C2C//3cI+dUP8uOw8mrjhOiqFH0uEkhuW2zSVEsVUGnCU0T4zpbA++/zzCyzO6+QdLQ88UtNT79zt7aRJ61Z68gDE9RZbg0RXATGvS+Uv7L9g8Z1XT2hE6l4ZgtpIaeIwL2vEnmsdwqmvJPnLYEf/y3o3HmATPCV5CBa7+hOOVpbwzlLhETMPTUuiU0gxOnnPlsY2TKni65+PZmEeX80903iKvvf0l5T5tiA23qfYX1eGa6xk3oakXJK/tIF8EZi1rOdVfd/UL1c1dbsxDNOXm1dQ4V5dkRyke05YcA+DGAwwF8EMB8AFcAONL3/S3p1S56fO/sg9HV2oRxnS344huWBRZnk6h8Kp/gJnjVvlMD17zqf8T16mczQ8+PvmYxr6mWGnpGN3REjWKJEAiTgElZ/FFjljXlQe6wSVAMoGzoFHWUvDQQ5pWonnnKaD6SX8BP+UhaVUTPsJAaeiq8rwDA3pN5oVwVFrwilHueh/1njcPsCZ0uVTWC+TG5T9JX0kbam4IKXL2vOM/nhGLCxEVhXHOn61y1rbsfX73xKSz99I3ae5WackNOuWyNk72GUW3N+PvHTsI9l6+o+kiXzdGqzdUx+0yS/4jymHdZf/m5zh4yo9W8IDNCOQD4vr/G9/3zfd+f7vt+q+/7c3zf/3ff95Oz0EsIy2aNxX0fPxn3Xr4Csyd0BhapLkJTLmqaxfDatvjmWw8MXDPxvsJC7PI8NxqCUG4+QFyHkhj5kD8+S26AmpQlC9KQMZmco0lVoOJKXsBQFM49ci7Zn2SeBTL26CRCRfQUHlAMqBWM6BksMwlvmZ5nIpTz9JWvvnl59Tfx/Xa08HNV1EK5iT9rEf91A+0pN2vjr4IkZi9tRE+Dxo2CT04ZesrLCyfEUeUC7uP8v29YhW/d+qzRvSqqmUgRlIG9zSR4kDdSLmsgKtsIyt73zR88Hl964zJlvbpam7lcXdbfgr5SIFGMamuuDsq9hEWK0oKLRmBdIYynpo5pU+7SRXDBg1SccqaOnidOGHQa6rKzj1VfLF+vqY8DJkWxk1TWOOXHjngG2XtyV0D4AtReBS45eQE+cdoSXHXeoQGKQ+UxpYZ/GXh2CmGixKkMl2aM4zXlAw4RPeOCON9UUKHITB/TjiXTy95qD583AYfPm4Dr3n8M/ucty/GJ03gjVvF9i/MdAJx9xF7OdXXpNt+/fTWdl3MtokFWhoArfcVV+aHTTJs4Cgg7d0ZBA7396U3G96o15fq6HLjXOG4+MFrjNNmaRPScP3mU0kgVqNBXXDTlZvcZ5RVdVokhOeexBZQQFylSUy70VuoeUzR5nsTLCn1dCl/+teR5woShn1TDYliYoD1HTX34ethpypPWhOrwrbcehL89+QqOmj+RDGREhYmvYEx7Cy44lnGR6AUF2q62Zo5LnnWEo6+wGfG/XXLSAlz74Fr0DQ7jkpP2wbUPreV+r/SjuE9SPC/IfZdzysuLcank4VcXHoEHnt+KQ+dNgOd5WDh1NBZOHY3fPcw/h+ithxLKo+LD5/DE2gwJPJdYxBnLZ+CPK9dVv9vOa1Zlc33c4/5SdavViU3nVrauPqZYv2MP1u/oNb4/TPCgmeM68KnT98VjTGA8V+8rNnYMFR66KlAgMBI/xeGkWmdboEcGFtAQKITyjCAolAcHq3i0bcI7l6EiLIuLsQxyl4jicTvP6eYHpXn9IqAlApAf7cUNG065WK8s+Fkd29kScK33g3MOxnt++hBam0r42GsXS1IGQR0Ji0IadW9WEWU3mjKmHde//xg8t6kbK5ZMwS/uXyOUFT+nvJynsBh6nlRTPoqZd8a0t2DFkqBtiuhjWXT5OnVMO5pKHif4hzHSi7JFMjD8SCRDX+GpIJ85Yyk6W5vwywfWjPyuz8NdU15DlVNukC7KU8awr/7hl7Zb3d+u0Dar6CuHzZ2AX114BDzPwxPrWaFcX6buGXlDzxquPPcQzJ3UiX2mlN0Mj+1owf6zxuKRtXRMx6625ghOLkIlz+UGvaCvZASzxvNCOeV9RZzsFk8fHbjHFBXtpyl/3NP8XoGobTPjlAevu44lcYIuGWhaooZtOGETzxpZwClLp+GWDx6Puz92khUnmOovMvpKVgWiMMaqKu8rALBg6mi8Zr9paGkqBQ09K5xy5lpSfWRI4kOUMhAXIbpzE993U8kLUHei2myYvp/5k829xySJrIwBz/MwoasVl7+2RkUymduiEISoJpDSHwXKYlRweYznN9t5bVZpymVxAgAAHnOawNlTsJxyOj15Qs585g09a5+njmmvCuSVfH75niOkVXTllIftPybGwVlGIZRnBB2tTThpJFjQ4fMmkGHMB4d9XHnuIZg3qQvvOmYe9p/F+4T+/Jn7GZdXEcqpnSw5r0mPt8TvrFBspqmOdDcrHGVyhp4JkcpNi6lRE/jThSxj78mjAsaJdig/a2dL3g7p7LmR1fs1PsZZfPVNy7nv1eBBFhE9XSDWywNw1Pygd4XD5k3AiiVTAtdFiO7cqPns3CPmVj+/8+h54QQqA9sV46wyOgaTcYlIwLJtnTXlVDpeWpSUV/scpWbWpb1llK/vnX0Q3nb4XrhCcK6g0pSLkUo/8KpalNIPv3pR9bPMmYGs+mQTSZqN3ZfTypVmHDV/Ipm2s62Jo68ac8qJyK42yOboNUfeVsa6xvfOPhgr127H/rPGVq+957i98YM7ygZJ7z9pHxw8ZwJOlmiqzj5iDq59aC1WrtEfoTUz9BUTcIaeim7P8/s8Z0NL1/VH1JR7juWHgelkTgnlWdaUu4LyjNFJ0LPK92YTSclpJy2egr0nd2H1prLGrbJAxc4pJ6594JSFeHzdDuzYM4CPvmYxNu7qw6nLphsJraIxKiV8vPu4vXHq/tMxODSMORO78GWJNxQTuGjZs3q0naZLROpUh1OsGOQxLGiuzYUxpmwL+gorxIWfP8NlINuQvGa/6XjNftPx9Cu7uOsqTXlPHy+UX3DsPHS2NmHKmHYcOndC9XrUzgxk9BXZsP/sGUvx1v93Lzbv5iNmBzXlDpVpQP5KIZRnCK3NJW6wAcAlKxZgQlcrpo9tx8FzJkhS1tDdJzee62ptQvfI7nvhVDn1xUZTJHZ5cYI0MbSkrkYT0dPdJWMYmGvKy38pA6d6Aq99Kv+V01ey//zWvUhDX2FRKnl43f4z8L83PwOA6SMW2vYo4Hllvvi17z3KKf2QYP8iqzMbRC0qmL6fJA2/bWDqfjZu1HyF282h7B2jWpuxS7Emcem4rIONIFsTREVQVHBpb2ruZ2lSYu1UAYLY6JhAWSvNGdBX8pScZEg15eQ1uh4mPuAXTB2Nv39sBf7jd4/i14yhelOJV4qZpv9KTQAAIABJREFUxw8wuk2KPKwhKhT0lYxjVFsz3nv8fLz+gJlG94/rCPqUruCq8w9DR0sTJna14lOv2xeAnl9WvebRn0UENeX0byyi9b7CCy8mLhmjhrhwzZko51/7vp85zytRg+IrRhl5Mglwr8WyI5lom1iUiFU27j4i1iustlbkxrvUIe60svko52t65ODGr0HX95lX7+q+k9oQmHDKo6Wv2Kdn6zKhqxUnL5mCb5xVo6yIxtMqAVKkr8jAB+hx45SzYFOJpx4ytDaXAsbcYhqnExOzJEZ55QWFUF5n+Ozrl0p/O2zeBNz38RX4++UnVSMJmnZ62X0qTrnoJ9yGoxeF9xXPg5FLxjjR1lzCbR86QaoR9P3s+SiPGqS/Y8m7yOrTh3KJaNnvKI9FUQZIIcuMONeBIfuxFlkdLG06YquHI+Tu6ZKuR9DuyETbKdLxjl842ag8KmeTcafjPdsg7Jtnn/2dR8/Fle84FMsYOqqMc05BderNgrWpNlnjdEo39kXwygB164gel8pp2Lwc5gSHF2K7icwaCqG8zrB0xlj8lyLS1pj2Fk5LSXpaIa955O/iJC0OYpOImlEaMIlaE1eXjGEgahc8z5MGiRj2/boXyllQHmdY5OHxw3QjM005WxZhd5BISM9wyaXBoWICdRqjQ1YX7LQ2BdKNsuUcKp5W/s9bljPflRWo3Uf9LEsWKafcpEQ5dFQaNpjaJEWsBwBYPK1GMVXdK+OU2xh6yprNxt6JCibkxHcPOTDzsIaoUAjldYgFCr64CHoB0PVq+e+iRs/E0JLklDtb8Nc+Z4FTXim/VSqUCxN5nBVLCVQ0zIzKQ1K4hHGv3i/JR1oWMWZitzsI0FfC4YRFU6pc2g8yXiOUVZAUus+UYETZYFr7Gks15RkdhK52Nsb5mwhxRkJ57XPJK9M4dGWIWdfc/bH1i59THvbd6xQsXW3N+Nm7Dse5R87Bzy84XJnX5acuwdQxbRjd3oyrzjvUunxXsP1Mx/NnQZ0GsymSCx7E5pW3laYw9KxLUNwuGcy9r9AI0ldqn0U/4UkIxaKWOo3gQRTHUaYBH/b9gBvHugPBK8wqdUCGMK7SfMv3S/Ew4/ZlH3WWTSUPf/n34/Dy9j2cdtClDt8/52Crsk1fT+4MPROsLmdDBLs5XDRKFgVl3/e1wnPlV7OInvGcNLpxymufZeP0mAWTcMyCoLtREVPHtOOuj56EoWEf7Yo1naeImtQyWDHZ+2Cz0807bz5kFn5wx2q8tLWn6p7ZxCZABTf6Srgy00YhlNchZNESKWj5ZcQ1c0NPUSim01DXXccSP4m4u2QMA0rzXVKcSSVOTUgYFLVAKtjW3+NbgwoGEndEz0AdIiiitblkLJDLMHtCB+ZPNtGU1z6bDnMphcowfVxIq3xZu9m2LSWYsq4Rh32Acjqic1NuUl7YtqNO9WwQdTyBlqYSdDo2meLLyk85AzadzYanrbkJN3/weGze3YfpYzsCZdkG1WtUFPSVOgTlE/iIvWl3isbeV2Quk8TvAe8nzIQhWQWpIybXgckV4YlUgIRGO6EZlbVfI3DKqT6Wt4nX8gSfg+39lF/opL2vpAKiEqbjwaX6JhzqLCFRTTnz2dZYn5rPTPLgNezE75KieaWGtnpKhKevRJeXKWSKL6n3FeqaZONl6n2lgpamUlUgL9ct3CbHpQnDetBJG4VQXocQ6StTx7ThK0KkwAqMO71HfgxAPO5K2tBSpI6YuGSMGpTmWyZIiZzyOlSU89DSV7KJMMew4kZVX1btc2UjG/fGTdw0ZoVG5PKs5sG7rLNOBGltCkw8IpkZegbTmuTBa7xHOOWcsCgR5gXKZFRwEejSULBEoXgyoae6PI8bpzyjAzMhFEJ5HULkn11z4ZGYPUHiK1tDVdFCGGhBTrfBhEHSV9wGpsrQMylOOem+TsEp5+uVDWEoSlBa5jx7X4kblHZJPAGKG2m8B1MqHZnWob55s2uIG1wXk3jbAvTzKHsiauNWkba90L8L0dtLGJhsAlTglUKhqmIMmeLJnb5CU2BcmpalY5ouv2HL5PIKlzwVFEJ5HUJ0v6fa4ZpSVWSc8iB9hS/XxNCSuuoqP/PuscxcMkYNkdde/iu5d9jOmCaPoHiFSW2Q4kAY+orJ66U0X2K/jhpZ2AzZuGpTwZhTLtkZpt8WqVeAq0HQUNM8nwqdJBJKgZGGPRzCe/uoISn7IHnwIBq69Z1FlBsel5MplzLDGOVnAYVQXoewmURNOz03SZu6RPQ8IXiPUVGhIAaSMHHJGHkdCB6erMUag1MevCa388zm84ea6C01P9zJgs//BZLZuGXlLZiPh3AauSxB7n0l3gqr1wnmPk0+1HzG0xjNlTMm5WbJ+0qUQqwpTNpWdj8FNoew845t4CmxfBdkdQ0xRSGU1ylYbfmUMfLAAzpPK7VrdEdXuUT0IArF+mPL6jXyTj1EY6E0/JTzx28e9zdwLxqLU16jY2RVS0kjzERvewxOnS7FzylPH1QbGxt6RkhfKRBsTxsaIBWnwcRtnxgNGjDrl5FuWC02HxTSmMvlwYNsnoB+P2HnHZcTkkYfloVLxDrFr997FH5+34s4bf/pxj5OK6ApLcxnxdhU00f0aarXHAcmb2Qk0mfc8rQFtUjIDT19koNZT6D8xmbVyC5uuAYPiturg9jv0uiHpgoCHYzpKxntg7JHjru6qs0jWyddu+lOCs1CwQdbwcT7StrzJxWjIm5Ya8o1ebAIG9gubJwQlybM+xJaCOV1imWzxuK/Zu2vvS9s/xUHmkgfSdzQUhCIKU8WcYM39PS4v9S9URq2ZBHUEXTuNOUhNne275d3iRjk4CcheGTlNbjQ60xfkLwPpvv0pqeSUYPyflJBeR4P2jfQ+bDzH5t+5HeLOpkYXkapneapY/YNzq5/aWjKWUg55Zr+7Uu+OfG7ucBTZmmi9L6SR617QV8pEADpu5y5pBqavKZctAw3p6+46oUCnPYUOOWcsU9FUyTlicZvxJcl6Ba6rPIBucXasm9aG6IRfTZuTnkWWp2qg+mzuggMcruGAoFGsNiUUvQVLv0wSFCbV5P5IMoNa3hjxuS19rbBgyjINrVhNzy2Wvxy+Wy9QlJmcuh/pRDKGxzmmiiz3Th/zM6HWJbTV4hrjmNJFIjTCB5E0VFU1u31zimn+lje+LxJ7pUoyhV1+hIpFEJYmnDyU254X1b7oJy+kl59eQ2y+l7Kt7WRS8Qoggel3G/JDUnM4BRfkg2PDjI5IOwmw8SWQF0vhzRZmbwcUQjlDQ7TTs+7RJQPNPHoMmlDy6CfdLpucYLS+Mgm6HLwoAbSlI/8lS0eeXh8e+cramFDBM/Br9BXar/Xq/cVqm2MNeUO5eWNQpUkxCaw8aJBcso5jSmdjqLPmHhf4RUxITXlkvqYIg0/5XLFk1v/5nKIUFNuuv5GuUpndN+tRCGUNziocRZmXlP7KZelCf7grCkXNPXp0FeCQraU9+f7oLwO1BP4o9Hyn6xqKWXgNqKWaflH1b9graa8Xr2vRGTpadq1pAGsrEuMFiqqW5wwdYloY+hJzX82Y9/kXURpBB02fToRPWuf2aaV0rOoYSbJO1JNuWEayibBBnlfQwuhvMERdh0M0ldETbV+MibpK84RPUVNPV23OEEtEmM7Wsh7fT9I+ak3UBy/fInkyQpqFA+zEbyvUDDnlNc+m8wdWQ4qktbxu+pEx8Zgnz4ppH/nyw+m4/OV2STFs2F1WYPiHqcUbDc8uv4lE+zDekJxWX/DtmF2R7kchVDe4DBdAHj6ivw+8SjRRsMSBYLlJ68pp7Qll5+6GE2EhBEMHhR//ZIG5RJRtsBmRRhUwZ6+UoMRfYXQLqXhai0LMPZTbinIquaCrPbBJAUMsT3Zby6achCULBGUhlRFlaTLU9dNh7D0lTQ05TLFk031ZZvasPOOyfsTEXa/zL/D/InlhVDe4KCPsoIXpYaeoktETgIx3MUTl13HkkpTnyanfNb4Ttz+4RPwu/cdhTkTO6u/D/u0YVQ9gXqkrFIHpLDUxLKw9b7CC0DBk4VYvK946u9JIAynnIXJMM8yfSqL9BXB/ZBxPlScBhNuuNVpbYTzZ9gNWRpzuYxaZ0dfoesa2vuKJC8VeBHCZSNgnSRTKPyUNzhMOeWcplwxUMSdtYlQTAYPkpaghorTnlxET5oTN2t8J2aN7wxsVLIU/CJu6DTlWQWl7TeH3fsteUEJJumInlnphS4neWGF8jofgkZQ0lesDD29QH5m83AwnVl5BlkbIrymPLq6qGASoI+Frlrsc4f1+sTPVQV9xQSFprzBEbUQKGpJonDXZANxUkrfTzlx6iAIEEl71kga/LQc5Ehz92b0+ZOsl45TnhmJOWKQJ3QxPavSqDGeIiNAvBOYUlFuIfhR2lUj13gWGnh5eSE15aFSp++nnFV22FAEpaczBveo4Dms/+H1NdkdwSYohPIGh6klNntNpZUSd9YmfsKpy+7eV3iNYlhDExfotJriJBqXpicroPqLdMFIoD5Jw5a+QnksiJtTnl1DT/t6mIzyPNJX4obK64WdoSehKWd+NzH4rxRnYsAb1luHDC49JI2YE9LgQY758Yae4eYdKjqxtvwoN5/ZHeZSFEJ5gQDonXTtmmpoKjXlMko5JZRHMJpETnlSA5TVCOh4smU/5exv2RCGokXwmZI6tYgKnLbfUqCz1TZRWsm4T1Oy0OvIsWK4QtkOG2X/y+gYTHIfEdikMZ9dNOUmBn+koadBz+TKi9DS04Vil4ZBtq02WktfYT6H9SbDvj+XOd9FOZDCkh8pCqG8wWHu3YCGKDwPC2pBM055dBC11OyinhinXMMhFjUbcbn0yiKqml9pYItsPn+y9JWg5iv2iJ5iHWIvwaxMJ025wTjPtqY8nTFguk/RKUyo+Yydh02anmoDE2E+vEweLgN+gxCuLqaQnQZL25k6HZfRV0J7X2HzMksTpfeVPKIQyhscxvQVj/4sImBo6SoUO9NXap9FTXlinHILrWbZ0NP8/jyCmpilET3jr05oWLtEtKQncX0gKU25p/6eddgKU75Co5j2o8sVIOnVwbNQP5Kack5jaq6cMSk2rjgPbvSVtDnltetSxYcmP3a+Crs2hfV+FrYF8+ZQACiE8gIULEaC2OfFaJYmfsLJiJ7mVeAgWr+bcNqjho4jLk6i9e6Dmn+ioOY3D+C8r1im5egrBoOLEmDiX+zT73e6sWKbVoXC+0oQpsavOuUGNZ8ZuUQkbC9MXkWUnPKQzkJSoSLaeMYBJPRUouXEdTkslSSpOT9M9OUsoBDKGxzmi55HfhYhctBcI3q6QphGjCLJRQ2dr1rxKLf+NeVBTY6ND90swOUY1hVUn03eQ0/yL4ISDAo/5TXErvXjd48c7FwiMtkQnHL5OqBWZsieP0veV6Kk0phCarcVsruIp84uoIzW9eXanSyKyOgSYoxCKG9wkFQVi/TiQBMnJVeh2HUBChqapqwpJ35X+inP/ZQSBPVE8oU9m88fpla+QtghyyK0S3FryrNKX3HRlJtoC5URPVPug9JAbYnWQfguE/wIUN6nbDe1lTYw0XqKp7NRwcXZQBoRPWUbHpsZlqQYRvAsNv2GTO9Uag0Z3ntLUQjljQ6KUx5wjyZPEnSJyN9ppCknLruOJdHIKI3gQTqOoziJRqGRyAsqj5o37yssrCN6Mp9NXi8liLB5NJL3FdPxYM0pL+grAaj6NT/nq/s/198Jl4hSg3/issmr0Hm7skHY9FHWxRS2ii/TccatY/bVGsnXnlMedmnI+/gthPIGh1P/VSQShQczThnBKXccmSIVxITTHj3UR5jicWPdc8q5RUPNKc/s4xu4dJPB1rsOJcAkbUCWldfg8qxm9BWHyiQEOX0lyTqIihnz/k9FtTShMeiUE7JysxvRM2VNuYwiqBndlc1ZFCcQKgWetHyNUssGkfo8TwiFUN7goI0+1N9ZiJ1eFDCT9n7C8RIFTX1SlthaTTnz2Re9r9ThiKQ8KMgXjGwiyXpR3hTC+gvWIaubIdNTgUgNPe2yqhsoDT0ttLGUksHZ4I97GXoNe3hOuT0HOq66mCKK02Da0JP5PRJOuX3d3Djl7gqULKAORYACNtDxy8rfBa2JYtkStRZGfsojpK+Ix4cmwYuihs4oT9yopKFdSRLUJJlHV1UVhKm5GX2l9nm41mDVa7FE9BRqlkY31Pn0N4XJ+8m0oafketxjhqed8L9ZGXqyczCV3oJiYURfiXBshKavpGLoyawnTNvLY0Go86M45a7tws1lBoGNgPDa7bwvoYVQ3uAw6cBKTbkv/14KcLoleZD5hl+ATL2/RA0d1UDcqGRZQIgEGr4id2tGJ1SuXpbvy1bjRB31J+2hJ21jxwrMOeU1mMwdplrhVJB2+UQVXA09q5xyI9siDVfdYP2IcmyEpa8k5ac8CrqT7jTTdbPDu8I05JRHwGWn8soLCqG8wUENNp3WTDU+xQk7aT/hotYkrPV32DroTiKGfXFRycCKHCNqQqZEi5MFiYRA2GNty8KqqPTZuD30ZKHb0WPFrGLR0lcy0BgE4u53SuNXw/sAWkg22dPymvqgMC8rNUpB2NaLT7Autc+paMoN1lgTyqqYl/ujhKSvZmFiShiFUF4ggDDjIMgpr/0mDx5EXHMuv/bZlD4TOTQaBrFOafi2TRLUgp5HDYYrRDsHHag+G7eHHpVmNClQZcZHX7HONjFkYVMgCm42tkFk8CAhNgOdjilf+GucLnTThcsgDaN9mVDuvob6I3nRZdjAxSVyhodmIiiE8gJaBDTnzGdR0OWOvEqGnHJqGDqOTFFTng59pfaZFDRK/L0s164eNeWUZkbWF7L6+DaGbiJshQZKEKl3uwMZzDepxPm7Asq5IOXmlb7emKcvZfZcnTSccmENKCe31ebyf9XlxTM23Ogrtc/pGHrWPkvnWOoadTGCzY6TS8SQ9BV+rs6fiF8I5Q0Oo4nDYmSIx+xJC8XcESiECcvQ0CQsdIuEuEClwUNMEvTRqOTejD4+JyjHLB1RY0bc7EaNoDF38iCFBdO0lhU2pWpkCfHTV2qfxTawMdSkqFY8t1hSvuYJZb/rDOttEKWhZ2JzmaUQqjX0HPkbxbpk8t5VcPK+ktVFxBCFUN7goPqvboFWaQ1FPqGJ9TVNX3FbgkSf0Elz2gG1FwPxmo/43d1lCZTmNw8IR+li8jG4nzryTTrqaxoLW7LeV6yzTQxZmAICdkTMZ72hJ5GPkaEnW57H/RV/58uLSVPukCaNuVxGLZLVn65XUHqmbAPC1c20RaMbnBke5lIUQnmDw0hRHpig5YlULhGlkzF1zXE0BTnl4fO0hY33leFG4JRz8/2I5ld2byZEEjWs6SuwlMq54+hge9VjH5HB2NDTMl+loWdGd8bxu0SU52/jEpHklBvMw5Qyw+RVRNksPEvHPuMsccptJFKqqpFsdiTUGhWozZljkblEIZQ3OKhOb9OpA+OME4o9IwOfKBHglJf0m4LIoTlO5RcoXxC48j6lBGHlpzyjj2/iBUIG20WGdokYL8UpC92ONvS0z8dEeE2KyuaC1DYFXLMJp6UWNECKTsLRv0woFpp8WXBzfsgda5T0lTQ45SZLnD6iZxlRUHHCOloI24Q5O5AFUAjlDQ8dvQIgDD0VA8XF0JIarM6acuZzgFOemKGnemIWgz3UuxEfRXfKMn0gbVACTOzeV8Qxn5FuaFoP201TliN6ysrPypDRBg8iNeU0xYLLV/OAsnLjCtgTlr6S1ImWjKJpEzyIrKqgYHOqG5udg6bcqUziZDZPKITyBofRabriJnEAcZw6uAvFroNpeFhcEPSLQdQQ20CEJ7RJvXPKqUeS+ynPPuzpKzWYvF9W20edLNTjxg2g373ps9q2iNL5Sn02rxaqfmpn6MlmRKWXZRCcOE2EQV4zH1JTbsBhVyENo32Zptz1MJJ2iehaN3PaE3WfS7F5oECqUAjljQ7KO0hAU67+zoIdUCXB0DIJRbV4AitSRZKAaGwqwhO0Rrr76wlVTrlswcjo84fSvrhTyquLfNwaOJvTsNigGSumMBnmWTY0lj1yklUOzPkWFAny5M+AW6yjecnpK3Q9XRAlXSKrwYMoUCdNURiX29CedOldkOFhLkUhlDc4SE1uYIGWjwxRQGEHnufRAkYgD+JyFIaeJc8u6EVU0AlQ/DU/tuPXzICkr+RrtuTGRMxV1y2QcWjKM7oXMh4PtpsmtaGnWZlxIS1Nn2pIWmk8ifnPNtw6IcvLi4vJM5GLEicdTrmEviKrPrX5JW7jbZ3c6uaizIiWvpI/FEJ5g8Np3jDUfge9r9D3UYPVdTCJWuc0ggfxdQj+LrZJlMevWQQVoj5ndp7hXCKC75M2ZVXGTNJ7mDQEQx3VS53Wrr55tGmImx/L91P+N6pPykAJpia0EOqyyfuPUqnBcaAd0qchlMvejVQm1+RXVZwM281bdFn2SjGe/ZTVFSE+NKddgQLpwmQhtKGvBA096d/igqiltllMogKvYQi2lrhRqHtOObHSSTnlOXh+225ka6TJ9ZmqoSczrmI4TlHRFZKCbgNrCpNpRh08KHVVOYlk6SvCaSlXD3VF+PmsnNLECxev8aZ+l6RjPqet1IjbIJsCP12Yn0JI8yAohu7eV5gvLv3XoVy+rzqUmTIKTXmDg+Q8ay/UIPZ50Y2SCRcxUvoKZyTCa8qT4pTrXEmJG4W6975CXMvbZGkjlJjmY3JPRcCJnVOe0X5nbOhpWX3VBj3tpkirfPWpZ/C0SwZq/hOjGJPlE+WZ0B+Cxv3uCGsDxZ16JsRFlBnhhl3vRPswF7gE7wu9NmRzKjNGoSlvcNgKCYB60RCpGKyGxIZT7kpgEbXOJuVHDV7DQGx6hI2CTkNUT6hM9HnzvhKOvmIHir+beETP2EugyqTGin0+eTf0lCHJGqvoKzphjwqGZsLz5Q09K3/1HYCrTsoTSBr2QVJOueR+8nScoBdF432l9tm0/4b1viLmljcUmvIGB7kDtlkJhQk6KpeIzhCF8lQMPdUaBrFN+Mkvq2KpOyjtUw5loiqsXSJqTk5EUB4L+CN6u/JNkIVeFxV9xQRZFsrTeheqFrFxiUjRSaKw7ZF7X4lHEM4Lp5xfT/T304qi4H1RuHf0kl7/YWa/kGUUQnmjg5LJxe/CgFRrL/iBbGboSVxzHExpc9oBWuPDQlzg+CPP+OqVFigtmZxTngXxMAjKWNUU/P3656PaK3a3mQHNaDbeg2ktbKtrStXIFGKevlQndhSlSgaKTmKiaac2ryYa9iiVGrb8bFVdkuOU8wVRAce4+zX5UYoT12dxogNpTpr1ZVonyRTqUAQoYAMj+ooVp7z2WTS0NJmMZfmaQjzJ9Exm9YjBc/GCv6s45ZkVCEKA5JRb3JsFmNhGRAXKDiLpxT4d+koQLrxcE2Eq05ryDMwBAUWMhbBK9VUTTTs/d48I8+zvUi56hJzykD0/rSBfNtpy02pF8SxhbbrCtmB2R7kcqQvlnuct8Dzvo57n3eJ53hrP8/o9z3vF87w/eJ53Ytr1q3eYsFdUnHJxnIkCps2xZxQIasrDH5ta14Hx1W7ifYXiYNYrakJmHqdLN9hqnKgj37gX+6x2O9NHtTFEBDSGnmZFxgZZ+bG7RDQ8PdDVgnaJyP4uqwBboKYQSX5p72fSoiLSBpXm/YWmrzC/u9ZLkp8KYXt52uM3LLJg6Pk5AGcBeALAnwFsBbAIwBkAzvA87999378ixfrVNUjjKvF7gL4iB2/oyd9tYnVfyyc877DMKa99T4NTTjWWGGWUn/zyPqUEIR5WlI1bZTcnUaNwsBWObGUNaiMbt/eVAFJ4D2E45bbVbaRNYRTghSt125EGm5YaU88TP6gMRO1sNozKhZsSKa1AcCUPGBLqIKevqCtWpb9EcAJhFXRKKB8I/z6T8rgWJbIglN8A4L9933+Yveh53vEA/gbgK57nXev7/vpUalfnCN3pxYiegpeIkuczv0kzMbmkr4swAFMLHsR8piYzMaBC3Uf0FAxvlBq5jErlYV2lWZXFfK70jbgpTjYb77hgoiAwgcn7UfopT7kLyspPU74oiTtrBbj5rBTklNvYFvH0FVl5kno6IOyrjyLgjgvKZamF8drNsvQ8xOjcbvWi83NJb57G7tQsa0idvuL7/o9FgXzk+u0AbgPQCuCopOvVKKDpK+oFWjlQWC1JSXasFg8omkCSXOBaOezGJAgxkIbOhWLeEdCUp1YTd4R6K5YCNbWoRGF0pSwz+iwjQWx+yhUCQtobQ1n5cY8bVR8zEaqr+RDpeGWD3raIUJTLy4uJ2uVCFwqeFCeDErHOuR5GVtJF7X3FtDUL+kq2MTDydzDVWtQxzOgr8vRKTjnMhGJq8gt/dOhxf8Xf44ROcyNuVBoteJDqPdTh41vTV6gxk7QBWSqbQw3VyxQmwlRBX1FDJZTr2pfmlPOngxR4YZ568XTCKKldYbt9WnM5tc7ZdHHdiYRru/LuCU3pK3R6F+RxmGdWKPc8bw6AFQB6ANxhmOYhyU+Lo6pXvcFs3hA054pEKoHUJniQE32F+VwpORX6CtsGxFmUyClPS7uSCoRNiIisPn5YV2lUPjLovK/EE9Ez+jyt60BdM+aU29GL8hjRM25+rErYtvJTTvRV8XRQB0/4K0tHURajgptiqPY5baFcBhPnDmI+zpxyy/cuwo2+Yp8mS8ikUO55XhuAnwNoA/AR3/e3pVylhoJKSyJCHGcq4xAbodjNRyylKWd/t87SCfxzBhtP9N1OcTDrCSIdI4/aC044sExr+7w8p7zyl7fViBpinlnphebeV+zyVXLK7bKqS6j6mG4e53jVFdeGBkIjdVknZEfteSUsH5mnfISvjykoepFsk6U19KxGEabzt6qXgaOHYPnRoWENPT3PewHAHIskP/d9/2yM3n+pAAAgAElEQVRJXk0AfgrgaAC/AvBV00x93z9YkudDAA6yqF/DIKxmIUhfYfOW/8blEaoGkrpUOeX2x2eh68F8Jv2UM5/FiJ71KBCI2i6167XYq+OEMOOEDxutz4fyWEDxdONEKuwVjftQU5iM8qQ26FEiSU65iJKFsEqd6ohzHlk+1AItlSpqukjYHPhTguQGET/HqukrpKacePIoApZxp8KGacKu02ECvWUBUWnKnwPQa3H/OuriiED+MwBvBnANgLP9PG51cgTyyFijNTM29PTMOGVRvWHy2DQFTbmO/+sJmnJ+McqoVBoCIh9VTV/J/vPb9ldbI03KY0Hsfsoz2uymB0c6moOILNs1pFW+auNnQ9+i5jOTPktxifX0ldrnqA8Zc+USscSvKWFQeYQoKHO8Bt++Yk7rYUbnMlNEIpT7vr8ibB6e5zUD+AXKAvkvAJzr+/6QOlWBsCD7vBV9hR9oQZeI7G/m9XKZECmNZDrBg9QaH5EzXO+cclHQzqORnY2hW5RlVZB8RM/kO2IYTrltdfPYB5OsckARY1EPildtK5xR3rPosiKmdYUc51kw9Kz5Gaeh45RX0um8iJnAJaJ2pN08f8M8G5xyz/NaUdaMvx7ATwCc7/u+g1fLArYwmTiCmnN5GpG6YSIURyXk0JpypvyEVOV8G1BH8sy9Pl+vevS+wsL31fNkVh8/TLWsOeXEmKl3Dz2AuQGaHvoGV7+TdNs3rdMilQbcztAzqC02Sa97a1T9onYVGrbt04ouSim/ZO/TNB6Abh0zgQltSVWwS6l5nx5T91M+YtT5O5QF8h+iEMgThYGiXI0Ap5wXHkT3brqJtZZtOC1FRbDxQlp/u0An+/NHjX4kx4RZRqAPqHxE5+D5rekrzGcz7yvBsuI+TQnEJsjIezCP6GlX4YK+oquDvD9oDT0JY0deOJMkJK7r+MFxblbtaWr8cycfPChYD/pedV5V+koEyiLRqYEtwjZhDhXlmdCUfw/AqQA2A3gZwKeIznyb7/u3JVyvhoXO+4qSziJyykcEc1a4ENNTA8eNvhKsYzouEXWc8tpn0ftKJlbkGOEjn9QB9r3EXXvRY0Gcbt9qZaYPmupln09Yl4hZhu/7sQl76hMs8/7Pa4s97i+gsC2iDD11AiTzOYrNapimTcsdYrk8uh7G0FDmXCcIymhdh7An5zzVKn8DPQtC+byRv5MAfEpx323xV6XxYBRhUPEb2+VlwkPJ8zDEHMOXYhIBWA1spYR0DD1rn2nvK6KmPB3joKQQ9MKjXP5jrYsrwtFX7HivoseCtI7EkwbVNi4RPU2GeZZ95adVPm9oycNG0KE8kIinZTrQ3kCC92WJ1pXmPB42eBCPCic9/PNQRuva0rl+aF9w3p0lpC6U+75/Qtp1aGSYuEcKHGUyn9kJWiY8lDxgiLiHycTkElfmKzv7MG1sO3+dnURKtQ1BrX7JSOU6X7Vi8KCe/po9c2drU5xVSx2+r9aD5GE+VXWjH931PB54YSsue9VCLJw6OvC7mfcVXquYRDTPPLS7CrbVz6MGDaBPGmOB4nTUjVPO/C6ZAah8ubWGivzMCnqRcMrZ+tj1kSjC0rvChrtN1Y0KvhWFe8ewzVDQVwo0HEhOuWYgyH6XCQ/lSYA3WBse9quCMymnK4bTBf/3IG5etREXHDMPnzh93+p1yt+3rYYmCugMZESjp+6+wer3rrb6G5L15n1FNtU/sW4n/vP6JwAAK9dsx98vDzqlMhPKa5/L9Kba97g0cANDvBqrbzB5sx6dpyJTmAhT6oie6e5Qkij/qQ27cOczm7Bqwy4cu2ASXn/ATKhEGDs/5cF1wIRbTNEPbbyvROKnPEQWaXrR8jxCqJYGD6LSB69FEQjJJGiUiLDLA7+xCpdXGqg/CaCAFULvRJlOLxMeRMO1z1//BH75wBp88JSFOP/oebDBy9v34OZVGwEAV971PCeUU5uC9DXllFDO3gvsZoTyUfUolAvvX/UasqqwNQnjfu/qLdXP63bUwjbYdjvRvVnc0TwBYM8A732W3SimCWM/5Zac/7zSV6KYwdZu68GpV9yJoZEJ+9cPrcVBe41X1sHO0DOYziS91gWflr6irJY1bMdtmlSasOHsWVSSR6Epp4zW9eVr+kGdI3XvKwXSBekeSXF0KUsDyH3GsgN6465eXHnX89jdN4jPXlfWKpLeVyQDuEchLFCLQTqGnsF6sBC1B5ymvLXOhXJd8KCMzsIm9WproadT24ie/FG0fT1c0DvAa8b39GcjRETJUNKybZa8GnpGga/c+FRVIK/gnue2aCLt1lr46Vd248o7V+OVnXS8QNILFqHJVaGaTuN9RXcqaYsw0SDTNfQ055TTlNUgoqDjiPZTSUBcb/KG+pMACljBjFMuTy/r8jynvPZlW89AMA+KU25ZXvm34CSSfkTP4O+iJrS7ryYANQJ9JY9Hiixk9W9rpu0BbJ3rqDTlcS32ohDe3Z+8ppzmutrDpH+pKC5pbwzV3q18hNUfyk5BePqIsAYwn6+4+RkAwG1PbcLPLjicqGPtc2X+M+FqU1d19MMoKBay8mwRdV1sYCWUa/LyifSujyMarZsgrDOyPESFVqHQlDc4jDiuhkK6bFJiP4saGluoDUCZMqtliwJh/BKhTmMicoZZAage6SssfF9HHcjmhMoJFZLlpV2iKQ9TmJ8Qp1ykr2RFk2yqobNdvFWBxNIXyuOrwNCwj/4h/csN0leCdbrr2c1kWh2NUKpw0dgEadNE3G62SwVrdJq0plxcU9T3UmtS8P1E4X2Fn8tcJpVw7ZhHBVB9SwAFtKAHqPo7C7bTyzho7GdKKCfHjWQwiQId67dXXn5tohr2gaaY50uexhOE6ImAN/SsP+8rors69TF57NVxgkm9mku8UD44NIzmphKvgTQoK+gSMfwxsg5hN8tRgB4r9s8b1tAzywhT7UfWbsc7f/wgNu/uo/NWZG4jlFGbSN41nsGmgCiP2gxHzSk32XzLkBWXiFVNt+ReqmokfSWCTYZNJNjqfU4l1SCuN3lDoSlvcISdO9iJS3bMzk5QopeH4WHfKqKnKDywX+Wa+mR5bTrtDV8fYHfd01dqEOkYeYSs+uJz9Yxon8VIfzqI/TXscW5eQHtfMUxryQXO42kNEE7z944f3S8VyEUE7Yhk9VELypWMbLy3lJMRnHKN7VG2/JQnrCnn6lH+63oqXEkWifcVrl5m9WmU+U6GQigvoIXJUSZAuyQE+AmqVzgmHzCNKDCCfkGoZ4V8mdEPzytPQihXT2Yi/6/uXSLaaMpjr40bTIQ+ccPp6sFE9FiQhJ/yrML4eS2bJef7QidQ9jwsPv3Hx6S/yd4D5TpTR7eiFOWsskVGfaSgO5W0hoNmt1YXNptkx6mNQwPa+UDwmsrGwKVeyZNXHAtNGYVQ3uCgOc8ih1w+NLjxL9nhsunFSXxwiNaJy+aVASE9O5nLjkVtLf/DQrY5qF2rfR4c8jk+b2dL/dFXxKlV7X0lo0KnIChTEE9xKkI5f1X/fMGIr8xvGW2eKEBqqF2e12CMKwWXDLdxXN4khnwf967eWitHLEbSJrSXHg2nnGh7dkPbUpJ5MSKuRSwIh8lBZ+AfJyiDWNVZkAo1Q8/wz8NtFow5Y+H6eN7nyEIob3CYuEfSfa9Axn1lB7SoKR8c8slJWjYsB4WBLX6vlsn07LCa8lUbduLy3z6CW1a9YnS/jlvITlS7e1l3iE3GLuByCz+ffF6TtyL2xapXHUuhOniy0Biact2pkmlaM/qKIi+jEvOFfk0wKPFURzz1kVF6egeDQjnPReb/AvSmlt3QNkuMftg4ANWy2LERsTRjO01lzSXiLU9uJO/VeVyrPAZ/8h2ev2LMKY9wo5VHl4iFUN7giHLq4DXE7GeWvsJP9iIdRQfxfk5TbuAn3UUgvPjn/8DV96/BO3/8ILZ192vv1x1jspd21zl1BaAEpvxNlCxkE/3gkCiUDwY2oSbjjdd6+Vo6QD3D9XmHhn2sXLNdKozm1a7Btdrrd+xR/r5bEMrFdpO9B3E+B2R+ymu/f+HPT+J//voUl4YdO01MYez8+d3bngto5qMWhLksLBs7VUNPIXjQmq09uOHxDeYZUPQVtm0dJUUXl4gsXJrRJNBbllEI5Q0OE+8r4sgwcYnITpDsJNsj+D8elHDKZUYqIn1lkOWUS4QX3dGpDs9t6q5+fuTlHdr7dYYqbJvvqvNongBl6Km4N6NCp2egih0S+vLbrrwP+3/mr1i9uZtOIIHosYDvsxltoAhAPZmxppz57Ps+Lv3VP/H6b9+Nt/2/e+mTuDxSqCyxZmsPbnhsA/oGh7B2m1ooFzXlovJD1iSikOz7PnYxp3+VZOJ7vOKWZ/Hcpt3V76xtUUuTXCx5ZuMu7t1FfYoUxsg3CS9JMoia8qvvf0l6r7ZmpKGn2/O4OFkIK0fnffjWpxRQwBhU/zWlqwDAw2u2Y2fvAEa3NUuttTtaazzpHXt4Y6MyfSWYr3hpW3c/xnW2YEDQRg7KNOVMBdi6DA75uHf1FiyZNgZjO1sUT0ZDrD8F3ULBbhh29dbyq19NuTmnPKtoYY7UBwU7hot/8Q88sX4nls4YE0gXFG5MOOU1iJzyRtOUG9t5Cqdh161cBwB48MVt2LS7D1NGt3P31zt9ZXffIF7/7buxtbsfZx+xF5bPGqe8X5zX+gZETbmevjI07OON3/07Vq7ZHkxHJH9paw/mTx4FgNeUN7OaciHNGd+6G3MnduIP/3YMxna0SJ0LRAGxizz9yi5c+st/YuqYNnz77QehU4i+3MNsUKKm0uggCr+rN8kVAaaGnlEY0epoSxRsvVUp8wqXPBUUmvJGhxHHlb+J/bZyzXbs/5m/4tgv34oVX7udTNOpEMpF7iKFb978DA783N/wzh8/ELifpa/I9InsgvLZ6x7Hv/7gXpx6xZ1aniWFnQZCud5POaMp761vH+UifPCcUxFZdUfHau/YPnjns5vxl8c24MUtPfjzo/rjYpOnE+lWPmE4V4/QnSqZQgyERI3ZPG4MAXPB5rqV67B1hGr3s3tf4gRGCtsFzyx9hppylp513cp1nEAO1IRT0qEA85kz9GTGGnWS+sKWHvz3DasARCvAiXlUsn524y5s6+7Hz+59EU+s34lbn9qEz//pyUDad/zo/urntF0isqcQwXvVdaO6mOvziEbr1ukdis37DFmfqrkCxqAGqEoIp34HEDgeZe/oaJEL5Wd86270EcZC7Pj92t+eBgDc+tQmLJw2mrvvm7c8gzue3oyLTpiPo/eZyNSxdg+7W//9P8satJe378FtT23EKUunBcpWYWeviaacLVutKd/C+A0e19FqVZe8QKRpqoxvsipzsto7VoB4aWtP5GWJbfC/Nz1T/VzfmnL1WLFLWcOjL+/AjY+/guMXTsZ+M8cC0GjK66CNN+3i/ZGLGxUR4rwcVFhINOVMvusI3npl/iNPZJmGZpUrLN2R9u4C3PNc2egzbuPKXz+0Fh+6diVGtzVzVMNf3PcSvnDmftVnGBgaxvodvdXfRfuSuMFrpH28sMWOMifSvwDg9w+/XPvdsWltDbBt7jPKK4eb70JT3uAw8b7S5hA+nJ0gWfqKqJHZ3TcYoKQAtV21OKhYbyUAcM2Da7FhZy8+/cfHpQaWssl6Z6/ej7RY/g6Nr19ANPQkbmAusr6DJ46qU6Gcm5hpulLW0dJcGwNsmPKJXXbvzMz7Cn/TLx9YU/28jln4GwEu3ldEXParlfjKjU/hvKvuryoA8rhYA+beJMR5VibcVqCj5ZkYeqoUPDpNOasRZ72v7CEMSQFgW0/5FCDqUyROOIWPy3/7CADe9qeCl7fXNiGiq1/RcDZutDLz065eek2twORE6uXte3DrU5uq35015cJmwQScTZaD3ptzgWydOn0UQnmDw6TLzxjbwacxSMRO4ix9ZbsB/QOoGR7t3MNPblSwCjGNWL7sCFz0jEFB5ARvkkTEe/ilbfjnyNEtu1BQZcsWOFsBLy8QreHV0RSziVaWvsL0QRP6FYus0nNEnLrM7gQpCpgoCMJg8+5+rBk52chrRM8n1u3U3vPy9j14fB1vkK6b60QhXoQJfYWa1zzFb+zYYYVI1k/5nn5auK3Ul2W3RE1fEeslgn12sX1dA4e5YnR7zT5KpyXXtZMP4N7nePeTrm0rGq2z2LFnAL+8/yU8/coueQYFfaVAo8Fk1zxjXEfwJm2+jKa8pdbNRM6hDBWu9ZbuPuG6fPFgFxbeJSJ9v0rAr0CclLfsDrpEvG7lOrz/6ocBAD9912FSLzC1a3SFJo5q09Ynj2hiNF9Dw/n0vkLxXHf1DuDn98m9HFAI+3xLpgeNSaNGyQM+c8bS2MsRoaM4qNOa3dc8IvDlsQ8CwJu+dw++9bYDcfr+M8jfH3t5B8741l2B59NyyveoXb3K5qw9nFBOKSBGrhG/sfMvZ+jJacrV9Y7a40lTibUd8dHZ2iRtu/7BWtmBoHgJB2MY3V5bY1/QeHsiTzSYz77PK9JkaUzAc935Nvnc9U/g1w+txei2ZtzzHyvQ1dqED1yzErc/vQlRIY8HYoWmvMFBDbZZ43khfKYglJsMT5YjKA5wE1SE8soxpXidAnsvzyl315SLLhg3C5ry/sHhqkAOADc98YqBoSdd1oQ61ZSznksGJMGisg72GSr0lc9f/yTuf36rLEks+OIb9osl3/eftA+AslvOf376lIC3krQQNYe+sqHKq6EnANyyig4KAwAf++0j5IZDR0+h/I2zkL0Gjr5CKiD4vyxYWyKOvmLAKQfKa4xOAWIL1ti+p38QC6aMkt7L1tlkLYkTYxhNua0LVoB/d3sGhjhqDuAehKekoJL8+qG1AMrUoNuf2oTrH1mP3zE8dsBN653lTbUJCk15g4PqwKJrNxdNeTdz7NjhIJTvGRjC4NBwQDP9mMJPOMvPZrUmTZLZ+is3PoVj9pmE5bPHYXBoGM2Ef1yRviLW56EXt3HffYhBF/SGtBXUK6e8VfBcotZSZnNGbRHoK/eu3oJfPbhGkSJ6jG5vxoF7jY8l70tPXoiD54zHgqmjuQU+SdBUr/CcchYV7aZKJs9mD6xB1Mpu3t2Hvz+3BXc8vQmPvUzTW0Tlhi1MKIB0zIuKoSehKWcEelazzM7DvYrTzBse2yBQFsO/OdYpQU//kHI+Yuk36QvljKZcZ+Rp0EyidxnRlssUojebrd396GxtQnsLLxO0NHm48fHgZjOr60GcKITyBgctlI/lvs8YJ2jNDAYKe+TX0eLm6m9332DVrVcFKuPMHczCw8rCbc3yA6GP/uYRjOlowZPrd+IbZx2AFUumcr+LXgi27+nH8LBfFbZFjUJLU0m7UEnpK131SV8R3QkqA7ckUSEHsM/wxPqd+Ncf3OuUT5g1Js7gUk0lDycsmhJb/ibQ2ERHgoGhYfT0D1a9dxhXJENghdkdPQM44Su3aQ0LxXnUFiac8kHCvkKtKadtM1hNucpt7cW/+AdZVhiwsSJ6+oaU5Q8M+Rga9vEfv3008Q26CJZTvmarOlAUOc40nd4kPgdZltBxDvvCTRjd3owbLz2Ou97aXCKjzrppyvlUvu/nSrgv6CsNDqqzLpjKH9mJmvIk6CtAmaqy1ULDw2vKa9dbFUL5qg27cP/zW7GrdxDv+r8HA7+Lhny9A8NY/KkbcNmv/gkAeGVnb+B+XUALWfvVq6ZcFMoTpltGApa+khZcx1GeQZ1ehcHA0DDe+J2/41GDyLxZBUv7+NOj6408fYQWyjUuER9Zux1f+suqYLqKplxHX2ENPV3feQSCFzvGuvsHlYbcA0PDuP/5rakL5ADPKdfBRUA18VQmA7tZGhz2sa1nAB/9zSPcPf2DvEvJChohdoeIQihvcFDDs6WphPcePx8AcNqy6Zg6Jhy/1IW+ApR9gm8lDCtlWLmWiCQHtaacwupNu/HOHz+AL/3lyQB9BShPIL97+GU8/NI2UiiHxk0XFe3N84DxnfUqlPOcciWfN33Zl4SzoCAgjMamXiO+VkA1Tbvh2DVt1ic37MKqDQpvD8i29xWgPP889vIO3PDYBmPtMCXw2EDnEvG8qx5QpqP6/f3Pb8U5P7wP37/9OalLxCjqaAM2Suee/iFy/q9gcMivevNJG6NDUs5048ckaJ4872DmD7zA0z57B4exbntQUy5GTXVB3sxH6nuWL6CFbDB+7LWLcdHx88lQ9LZyhTN9pXdQ6oKQwiNra9ovtoptzXblf+kvq3DLqo24ZdVGdLbIh8iabXsCQnnf4DDn0os2fgpenDG2Q8p9zzs8z0NLk1f1ZKM6Es6qQKQ6bbFBmKdrRE15m+HcYdpvrrr7+TDVyQSe27S76mFlv5nxe+MB5HN+xTuKTBNfUmjKb3qyzCG+85nN+I9TF1evNzvOg1FwynlNuZq+0j80jI27shE3wEpT7pB/GKG85AEi41483dm5Z4D0htblKJR7Xk0Yz5lMXmjKGx2qxYwSyF3gutvd1TuIR9e6HTOzu3Ob4Ee+7+NvT7xS/f71m56W3ts7MIQNO/lNg6gJJn33EovHwqlyK/96AKtpNnFFmTVEpSk3xQGzxwWuxckpzwIomcr2lEuH1Zv0nimyTj/dvLu/SgGTGXaqcNzCydZpZCc8OpeFlc2sTmBeyczzzdRRogEi55Rr6CuDQz427jJXGsWJMR3ma7VL/6aCJxmXZ7ANkEVG7izoKwUaDS4D1Fab6arhu+AnDzq5dwL4SarVQqCy4V4+8PxWbBTpK4PD3M7cNHjQwmmjjcvNI1ihVqkpz6hA5HqkLsL0+b5x1gGBa1Ec5WYZ1LwiemmQpg3xesYIWsYs2A987vVLMWlUGy49eUHkeX/lTftbp5G1r06DWqHk6QRm1vjbdaxFccrGrlU9/UNKBcLA0DA27syGUB5WUx7nvGuS94sSjzHOmnLmc95c8BZCeYMjieXHdGGNEhMYLb+Nplx0cajCtQ+tDXA1+4eGDfyUB68umto4Qjlr4CUifXGIhs3GTgVTwWHupC6csi/vCagRjZ6i1pRTEOMDJH0qQuGcI+figY+vwKUnL4w8b5f5WNZvqWBqLCrG67p+v5nJx7X9oxAsOaG8T2/omUf6igtWLHb3zGTyXm58/BXyervF2s2XmdWVRI/0Z58CqcKl81pzylPgwo5nFlobgeqvT9CTgykGhoY5EhslgFPNt3haMtzQtNDKaL8alb5S8oCxFsfMomFnvWvKqYFhKpSLSZtKnnHa8YJQHpX9QFjEJVi42PjINN1PrN+JP65cJ003bkQ5onuULYztkKttTTSccoa+MqDTlMvpK69bTkdcjQs2sQVIf/KaTVOYCL+6wFQqRDEG8qUnL4TyAg6wHSZho+fto4iqJgPrycTG0LMSZcwV/YO8ppyiR4qa+8mj27C4zukrzTmnrzSVvNCc1bmTuqw2qOK9de99hbhmTl/hU3e2NBnT5iYIXo+iOhXJKlw2HapxeQkT0VhEZe7VCVdbullNuaNQHsFrYzdzvq/23FHWlNNC+SdPXxK+MhZoay4Zt5stfeWjr1mM2RM63SqWEnj6SmrVcEJ9zz4FtEhCCJo8yjwojlifhVNH4UOn2B/hstovG/oKizceONM6TX/AT3mwgQ+bN5HTVp2+/3Qy8mc9gQtTn0PvK0B4bbktRalLFMob0fuKo9a6o7XJWCPcLrRrFugrWUPYcamb3rYzMSZYQ8+rzjvUuIyo5g7Tze/2ngFyLvvwqxdhyuhwboRt4XmeuVtEy2bKysmRDbKq3DFB/lq7QKRwmchsO/zsCZ0498g5RveK7rAmdrUZu0VjwWq/XDRfh84dH4juaYKBIdHQM3jPqLZm/Oi8QzGxqxXTxrTjgmP3ti4nbzDllGcZorA2ZbRdBFaRJqFDh0BX6ax3TbkwWJpLnnHwIHGYdbY2GZ9KiLSHJHjseUNYnYFNctbQ88TFU/CBV5kpZaISxExPWHb30UauafUf0WBZBmrNVzVdHoVyFn7OCCz5bu0CoZHUjvLTrzPjpIkL5MRRrUYaL3EiHd/lZuhZy685YDzT1dpU5UjKMDAoukSkG/jI+RNxz+UrcM/lJ2GmEDG1HsFO7CxPU2yeLGs4xONh26BaZx0y2+r+RteU2wg3Yr/pbG02pq2JXS7vQkgsCDkwbU4CRcWMaIhrms4VVD4Tu1rxnbcfhNHMxlgWSdVFiRQFRE35mQdEw2tvy+HJUZZPXHXIX2sXiBQuXdelwzeVPCMDHvGeCV2t2kXyM6/bF8tmjg2kq8A2eBBQXphFofyNB83CvZevwOovnorvnX0wmW5gaBhPMREDVWtZa3Mp11biNmC1zD39NU15k/D8WW4NF03565bPwCdOW4Lvn3MwlhO+x1WYNpYX+inf5fUE8d2HEW5GtTUby5HitFQvQvkbBPrdmPZmJ3eIQNKacr79TU86D54z3qIUOV7YEvSZ3dpcwqnLpuNdx86rXtslCT2fFhNRXK8uWbEA5x89N3AfNS5U61Dex0PeOOX1fR5aQIuoucz7zxqLx9ftxBfO3C/wW2tTCXuG1dSFU5dN54wtS56n9TN6+vIZ2NU7iPue31q9xtFXHCaVtuZSICBDa3Opanh2xN4TyHSiX/UoPALUA1gt8/WP1Lw1tDWXMNifDzpLQCg30JR3tTY505NO2Xca3nDgTOzcM4CLT9oHe0+u7wBT4lBpt9KU84mXzhyDe1dvldxdw+TRbYG09cIpv+zkhViztQe7egfx/XMOxl4TOp3nexdFzNyJNeNAG+VDi1DHlmZ92vaWEt52uBlFUodRbc0BLXilT7B9Q6YpHx5ORwoUhfIxHS349OuWosnzcOVdtUi2pKGnIt9cjoccL7s5bO0CUcKp7yoS/eHio/GPT7wK/3rYXoHfTIJCfOiURdz3vsFhraa7rbmENx0yq1Y9DxjHeRZ8OsUAABxGSURBVF9xEcqbApMcOzmN62w1cm+X47khUrBt9woTcOPVS6fxN2Z4EyNu7qaO0WvKj11gHz2xgo7WJnz9rAPww/MOxUF7RaMFzBPCaMoPmzvBKGjIleceEvAOFRUNIm1MGt2KX190FG687DjMndRlLJCPaW/GD87hTwJdhuV33l7Lw0Y5IWrKdULhQXuNw9fefIAxzUWHS1bsE7hWGfuscmG3RFM+MJSWUM6vR5XAO+K8RWvK5fmG1ZSnwbHP8wguhPIC1lB1eM/zMFbCux7UTFa3fegETBvbzgm7B+01DktnjFEeTbY1N2H62A5c/trFmDy6DR86ZRE3kbhMKq3NpYDv11ZhU3HV+YfisLkTcPYRwQ1IBRmWMRMFdQQ9c1xHQIuc5eay4ZSP7WjB2UfshVOXTZPeU4CHqI0Ns5gfPFe/ifnFuw/H8tnjMChoNuuFUuZi4H7iosl4+FOn4BRhs2zbInd+5ETsO6MWe6HbIky7qLxRCeUHzB6H377vaJy2/3TLGsrx7mP3xu/edxR3rbLBYz3DyDTlQylpykWbk0rgHXH9ayJ8R3qeh/84dTGmjG7DdIE2F1Yov+p8cw86UYGlwfYrAkBlEYVQ3uBIcgFSRUcDUKWL/Oi8QzB7QgdOXDQZbzhwJjzPwzUXHok7P3IiHvj4ydyxKFATli48fj4e+PjJuPhEXtMhatr3mTIKJ2s8q7QxVJUKxLn2oL3G45r3HomPvmaxNJ8NO7IR8S1tUAvrkumjsffkLu7anoHsUlnExUzFKf/NRUfi82cuqxsBLwmITWWrKa9sjt9yyCxMGd2ujI8wd2InDp83EQAwmLNF2xSmnmtYbOnuJ21/hoi2PF0hCIsG8U+/sitwz/JZY8lIlOJJhUoojCPKred5OFA4maoIdi1MXVZtCD4TYG6YGjXE+aky94jtN6aDZi2/57j5uP/jJ+PSkxdw18P67T9q/iQnZwYyiqgJJjNz88ad+VqDC6G8wXH4vFrHH2Xoco0SNFqbSvjffz1AmU7USImoTNAHz5mAOz9yEq46/7DqwtJU8jB7Qicmj27DGUK0NJ3gI2rcfvHuwzGhS009obR0MoFRpcmZOT5fQRfiQgvRnrPGdwY2Ps9u3J1UlazRJ7x/lT/j5igimTQ4bDXlnz9zGf75qVfhy29aDiC4iWbx538/tip8pkU3yCK2MOHuWYja39P3n45D58qFJlERsmwWb4h/6ckL8M23HkRSAMWxoxIKO1qSMYvrG4lKKfLdWXgeMH9yF86IyOuJLWTBg8R3oYv+OaotaEsVFjbT4bxJXdhrQie+MjKOXcBq+39wx+pcKccKQ88GxwmLJuNdx8zDI2u341Onu4XS/fMlx2LWhA6rUL8iJo1qNTYoobQ2KoiTSluTPrAIJRD0SoRy2aIxeXQbTljkzimuJ1ALBhUljtKoZQXd/fxxtWqxcg0V3sgQW8w0micL1pZExik/Yu8JXDh13QleXuB54T1NHLeQnq9Ehcq33nYQrnlwjTQfcby/6eBZ+NMj67F5dx++e/bBWDgSSGtcZwvWbtujTKtaFxZMTcb4ueLGVVaX1y2fgU+evgQTOludTiiigMxmQJynqNMJFqOE36PghItetlS4+QPHAwjnhGL62Jpm/poH1+LFLT341YVHOueXJAqhvMHheR4+efq+dmmE763NXiiB/MLj9saZFtEzdRp3EeKk0tZSCkTxE0EJXL0D9OJdKnloLnmBev3h4qPzabkeA6iNy+zx5Ynz3CPn4Cf3vAigTEHKKnr6+E2ZarEq3rsDRPpKSGFAJqCKJ4I6W5e8YGJXKzZLNN0mmDG2PUBdqIDiSXe10uLD/73zsMDpZWdrMykUkZrygKEnn9f7TpiPm558BScunoJ/X0HXN2pUFDIyZwVtzaXEo3iKkBkoi37G9Zpy/r1GoSk3VVKUvGg8wom8+MPmuVNhkkYhlBcIjTBH9QfPGY/LT11ilWbIchEVBcLWphLatR5dgr/3KiJRlkpe4Lw8LW5hFkEJqXuN2AZc/tolGPZ9lDwPb7TYnCUNUVOu8gpUaMrDI6xQPml0W8BFKQBOSw7Uj6Z8fGc4ofzuj50kpQJSGxcq8uWY9mYcL9G2UxjXEZwjxbEjlvzhVy/CRxR2PHGgoimXnYpmIQrsRMl6Y6spV3kdc4W5UB7NvDld4LCrqFZZQ/o9qUDuII4bVwHkjOUz8I2z1Dx0Crb0FXGhKZU8bZRPSjugCmPcPxhc2F2O3+sV1MS+aOQIu6O1CZ8/cxn+8/X7KXnaaYPdc7U2lZQLcb241UsSoveVsOPnC2fuR3o/Eg3dBlLylmGK1y034yiPt1ACfFkIIvTFN6iNkoeGg/MbJZRf9qqFxnUAEIgFAQQ14yJtMCnjaYpyJ6OmZGGuP+vQvTBpVNnA8fLX1jYtQaE8eU25qbAdlVAurtUHRRRYKglkdwUskBu47KSnjWnHFW890Km8KIIz6DXl5Wf62puX44PXrkRrcwmXnmy34BSoQQwAcu17j8y1Z5KutiblYmXik7+AGmG1jwumjsYdHz4R1z2yDl++4anq9cmj+KPtrHtf+dqbl+NfDpqJ8656QHkfGzBNhzccOBNtI1GLT1w0RTsWKcqgeOJw5gEz8FYiPoUKopcWIHjyOmtcOsbybc1NGBgSgwjJ6Stpo6O1Cbd9+ASs2dqDJdNr7ihF7b7M+0oFoqY8rPcVwHw+jMo+no1+PHdip7ETiywgPzUtkBmI87eLABJGaLHllFPQaTYqmvR/OXgWlkwfg0mjW604g5NGFdQVFi3CbCs7as0LOlubldrwwvuKPQIRPSPQPs6e0IllM3nPH5MFV5ZZ55S3NpdwwqIpOPuIvfCze1+S3jdnkrnw2tJUwusPMKeKUZzyDkFT/pkzllq/M4pTLgq+e03sxAdetRA3Pr4BH3r1osD9caG9pYTdffw1mQJKF+AuKYxqa+YEcsBeUy7aCsg2IjYYb7hhjEpTPmdiFz55+r6457nN1qc3aaNYOQpYQzxmFgUuE4ThqdkGZxAXD0Cv2WhtqqXZd8YYayOeL75hmdX99Q7xfeedbz+qrTmgKWRRcMrtIbZYVNotse+JQvkAQc3IIi5ZsQD/ctAsXHQCbQx93lFzq8/2kddEK7zSmvIm4bv9+xpHCOVUcJtLVizAny45FicummJdhismE3O+bN1q19Ah00TAT7mGU14qeZx2PApK4WfOWFrddF94fC1g3AdftZAz1v3gKdH123cdMw9XvuNQLJ0xVn9zhlBoyguERpPDTjrM7ttWKF8+ayyWzhiDx9ftxDuPngfAQFMe4jjy8HkTAhHxCvAI460nLbz98L3w8/vKmsoLjp2HjtYmfOK0JfjpvS/iouPn4xs3PYMNO3sxc1xHJNqlRseiaaMjyUcnlGddU17BlNHt+Npbyr6bv3vbc4Hfx3a04NYPnYCXtvRgyfRo2q4Cas4VhT0X7jHtfSUbY+erb94fp11xFwDgu28/CIDa+0pWISoIZF5zWPz6oiPxqwfW4HXLZ0Ri6Dl/8ij87bLjsbW7H4fOHY+j50/Cmm09eOOBszDs++jpH0RLUwnnHDEndFl5RyGUF7BGgL5iqBU8fN4E3Pf8VgDAa0IIrbaLted5+N37jsbzm7uxcMSvrU6zEca4hVpoGh27+wa471G4vUoaHxg5Bp04qg3/ctAsAMAFx+6NC44ta34OmTse1z+yHqctm55rvnxaENtscURCuciJDWjKM84pN0VrUwnNTSUuvH1UoDTlE7tasXz2OKxcsx0nL3HTYFOxClxOXuPA0hlj8bfLjsOuvkEcOMJRlvGrs2DoKYPohMBk7t1/1jjsP2uc9j4b7DOl5lNe9If/8dPs3DLXMwqhvEBomO6kv/ym/fGBa1ZifGcr3nfiPs7lnXvkXNzw2AY8v7kb33rbQUZpWptLnDAfp6ac8ijQ6NjdN6i/KeOYOKoNX1DQkvaZMhqXnhythrKRsLWbJ/DOmdgVSb6ijCfae9RLRM84g9ZQ3lc8z8PV7z4c/3hxOw6d5+bdYt/pYzC2owU79tQ27VnRlANlY2EWUk15hukrUfG0CySDQigvYA3RI6Epf3bOxC785qKjQpff2lzCry86CkPDvjN3V8spDyOU55CaETd29uZfKC8QL6aO4Tm8UfHyuwNBn/gN+WBOOOVpQkbx6WxtxjELJjnnWyp5OG7hZFy3cl312pJp0Wv6o0LWDT0pHDZvAuZM7MSLW3pw3lFz065OAQ2yu70rkFlE4f0kCoRZtPWacrtJ9u2H11yBnX2EnVuwRoDOBWWBAgfMHoc3HzwLe0/uwi/efXhk+S5m+NV7Twpq3weIGAN5wwdi9jBha8djg3OPnIOSV6aGfOOsAzCWcJOYFciomllm4zWVPPz5kmPxm4uOwqcso3cXSB6FpryANaijzLxBxym3PY784CmLMG1MO5bOHIO9J4/SJ2gwXHryAvz+ny9jaNgPBC4pUAAo0yG+8ublkec7pr0FPz7/UNz21Cacc2TQkCzrwYN0mDSqDZfEHG4+TkXMoXMn4J7LVwAInpZkDTKqU9YpUF1tzTg4RwF0GhmFUF7AGlmfgEyg04TbBkyY0NWK98e8MOYZsyd04tYPnoBNu/tw0F7RGhAVKKDDCYum4ASJO72sBw/SIQl3fHFqyoHsC+MVzJvUhZnjOvDy9j3c9bjbp0DjoKCvFLBGPUxAOk14lg138oq9Jnbi4DnjC88kBTIFdjrLY9dMos4F776MppKH31x0FL5x1gHc9TxFjCyQbRSSRwFrZIVTHgYip3zBFJ5y0tZUcKALFGg0ROGTOQmwBnvvOY4OJhQlljNhy/Me+Csspo1tx5kHzqwGaFowZRROXJxcUKMC9Y1ie1fAGnXBKRfoK4fOm4BnNu6ufi805QUKNAa+ftZyXParleXPbzlAc3c2cNnJZcPOUW3NeOuhs2Mv75KTFuDe57Zg8+5+fP+cg2MvLw943wn74PRlMzB9XHsRwbdAZCiE8gLWqAdOuRhxcd7ELiyYMgrPbNyNeZO6Mh2hrUCB/9/evQfbVZZ3HP8+3EJMQoRwSUXKRaBE0gtCUSOFhCpqMRSrdtoZrpZqZqCClSkzmVpjRyuiVJi0jhVQaGE6ndARrCKKUG5eKkWoFVEDSSxIQCRcgiRoyNs/3ncnOzt7n5ydnHPes/f6fmbWrJx12ed9f9n77Gev/a61NHYW/tYr2LgxX4P6LXMH4068M1+2K0tOOXLCft+0Kbtw43nHsXFjGsgbf42XX5+19c2PpB1hUa6+DcOY8s5xzRFwxRnHcPMDj/PmI2c77llqiF123ol3HP3K2s0YCBbk0viyKFffhqEo7xQRHLT3NBadMP7jMyVJkjr5Hb36Noxn4nv8R5Ik1WRRrr4Nw9VXOjlaRZIk1WRRrr69NAQnenayJpckSTVNyqI8Iq6KiFSmQ2u3R1saliPlB7adOT/v0L0rtkSSJDXdpDvRMyIWAu8Gngemb2NzVTAsY8qvOOMYlt72EK89eC8O329G7eZIkqQGm1RFeUTsA1wB/BswGzihbovUzbBcfeXw/Waw9E+Pqt0MSZKkSTd85bNlfm7VVmhE03abVJ/lJEmSBt6kKcoj4izgVGBRSumpys3RCM5dcChTd823qf/IqXMrt0aSJGnwTYpDnhFxIHA5cG1K6YYdeJx7e6w6YnsfU1vbc9pu3H3RAlY/u565+8+s3RxJkqSBV70oj4idgGvIJ3a+r3JzNEqzpk9h1vQptZshSZI0FMakKI+IVcCBfexyXUrptPLv95NP6Dw5pfT0jrQjpXR0j/bdC7xmRx5bkiRJGi9jdaT8YWB9H9s/BhARhwEfBT6fUrppjNoiSZIkDZQxKcpTSr+/nbseCUwBzo6Is3tsszzyPdDfviPjzSVJkqTJqvaY8lXAVT3WnUy+Vvky4LmyrSRJkjR0qhblKaX7gXO6rYuI28lF+eKU0kMT2S5JkiRpIk2a65RLkiRJTWVRLkmSJFVWe0x5Tyml+bXbIEmSJE0Ej5RLkiRJlVmUS5IkSZVZlEuSJEmVWZRLkiRJlVmUS5IkSZVZlEuSJEmVWZRLkiRJlVmUS5IkSZVFSql2G8ZdRDw1derUvebMmVO7KZIkSRpiDz74IOvWrVuTUprVz35NKcpXAnsAqyb4Vx9R5j+c4N87yMysP+bVH/Pqj3n1x7z6Y179M7P+1MrrIOC5lNLB/ezUiKK8loi4FyCldHTttgwKM+uPefXHvPpjXv0xr/6YV//MrD+DlpdjyiVJkqTKLMolSZKkyizKJUmSpMosyiVJkqTKLMolSZKkyrz6iiRJklSZR8olSZKkyizKJUmSpMosyiVJkqTKLMolSZKkyizKJUmSpMosyiVJkqTKLMolSZKkyizKx0FEvDIiPhcRj0XEixGxKiIui4g9a7dtvEXEOyNiaUTcFRHPRUSKiGu3sc+8iLgpItZExAsR8b2IuCAidh5hnzMj4jsR8XxEPBsRt0fE28a+R+MnImZFxDkR8YWIeCgi1pW+3B0RfxYRXV+fTc0LICI+HhG3RsQjJa81EXFfRHwoImb12KexeXUTEaeX12WKiHN6bNPYzMrf69RjerzHPo3NqyUifi8i/j0iVpf3vdUR8bWI+IMu2zYyr4g4a4TnVmt6qct+jcyrJSJOLs+lR8vf/RURsSwiXt9j+8HNK6XkNIYT8CrgCSABNwAXA7eVn38IzKrdxnHu//2lr2uBB8u/rx1h+z8ENgDPA1cBnyg5JWBZj30+WdY/AnwK+EfgqbLsvNoZ9JHVotLmx4DrgI8BnwOeKcuvp9zgy7w29eWXwLdLThcDS4F7Sl9+ChxgXiPmd0B5fq0t/TmnyzaNzgxYVTJa0mW60Ly69uevS9ufBD4P/B3w2fLavMS8NvXjd3o8r5YAt5b+fMm8tujLx0u7fw5cSf67fz35vWAjcNow5VU98GGbgK+W/8i/6Fj+92X5Z2q3cZz7vwA4DAhgPiMU5cAewM+AF4Fj2pbvDnyz7PsnHfvMK8sfAvZsW35QeRGtBw6qncMoszoRWAjs1LF8NvB/pZ/vMK8t+rN7j+UfLf38tHn1zC6ArwMPlzeqrYpyM9tUlK8a5bbmBe8q/bkFmNFl/a7mNaocv1X6eYp5bWrzbOAl4HFg3451C0o/VwxTXtVDH6YJOKT8565k60JrBvmT2y+AabXbOkF5zGfkovzdZf01XdadWNbd0bH8n8vys7vs87dl3Ydr930Msltc+rLUvEaV12+XvtxiXj0zOp98ZOl48pG5bkV54zOjv6K80XmRh8CuKO9r+5jXduc4t/TjUWBn89rU3teW9t7YY/1zwNphyssx5WPrxDL/WkppY/uKlNJa4BvAy4DXTXTDJqlWXjd3WXcn8AIwLyKmjHKfr3RsM8h+VeYb2paZV28Ly/x7bcvMq4iIOeSvfS9PKd05wqZmlk2JiNMiYnFEnB8RC3qMR216XvOAg4GbgKfL2N+LSmbdxvs2Pa9e3lvmV6WU2seUNz2v5eRhKsdGxN7tKyLiePLBzq+3LR74vHaZqF/UEL9R5j/usX45cBJwOHn8WNP1zCultCEiVgJHkr+BeDAipgH7A8+nlFZ3ebzlZX74eDR2okTELsAZ5cf2PxTmVUTEhcB0YCZwDHAcuSC/uG0z82LT8+lfyEOiFm9jczPLZpMza7cyIs5OKd3Rtqzpef1umT8BfBf4zfaVEXEn8M6U0pNlUdPz2kpETAVOI3+LdWXH6kbnlVJaExEXkYf//iAibiAPKXkVcAp5yNR723YZ+LwsysfWzDJ/tsf61vKXT0BbBkG/eTUl34vJX2felFL6atty89rsQmC/tp9vBs5qe/MH82r5G+Ao4LiU0rptbGtm+UTFu4AHyCfEHgKcB7wH+EpEvD6l9D9l26bntW+ZLyIP23wj8F/AgcClwJuBZeShjGBe3fwxuf1fTik90rGu8XmllC6LiFXkk/v/vG3VQ8DVKaWftS0b+LwcvjKxosxT1VYMju3Na2DzjYj3AR8gny1+er+7l/nQ55VSmp1SCvIRzT8iF073RcRr+niYoc8rIo4lHx2/NKX0rbF4yDIf2sxSSh9OKd2WUnoipfRCSun7KaVF5KN1U8nj8Udr2PNqDekJ8hHxW1NKz6eUHgDeTh4jfUKvS9d1Mex5dfOeMv+n7dh36POKiL8iX23lavIR8mnA0eRzGa6LiEv6ebgyn7R5WZSPrdanqpk91u/RsV3T9ZvXtrbf1qfeSS0izgUuB34ALEgprenYxLw6lMLpC+RhYbPIJ+20NDqvtmErPwY+OMrdGp3ZNnymzI9vW9b0vJ4u8xVt3x4AUL6VaX3Td2yZNz2vLUTEq8nj8h8lj8vv1Oi8ImI++ZKIX0wp/WVKaUX5oPxd8oe+nwIfiIhDyi4Dn5dF+dj6UZn3Gn90WJn3GnPeND3zKgXFweQTHVcApJR+QX4RTo+IX+vyeAObb0RcAPwD8H1yQd7tJiXm1UNK6SfkDzNHtp0Q1PS8ppP7PgdY336DEuBDZZsryrLLys9Nz2wkra/Jp7Uta3perf4/02N9q2if2rF9U/Pq1OsEz5am59W6ec9/dq5IKb0AfIdcxx5VFg98XhblY6v1xDkpOu7GGBEzgDcA68g3P1G+qRLAW7qsO558pZpvppReHOU+b+3YZiCUE1k+Rb7x0oKOMXLtzGtkryjz1ptb0/N6kXzzjG7TfWWbu8vPraEtTc9sJK0hGCvaljU9rzvJRc5hEbFbl/Vzy3xVmTc9r00iYnfyEMWN5NdgN03Pq3WVlH16rG8t/2WZD35eE3XtxaZMNPzmQR19ns+2bx70JAN8of8xyOiDpT//Dey1jW0bnRdwBDC7y/Kd2HzzoG+Y16iyXELvmwc1NjPylRm2eh2ST1xcXvq52Ly26M+1pT8f6Vj+JnLB+QzwcvPaKrfTS7/+Y4RtGp0X+STYRL550P4d695anl/rKHdKH4a8qoc+bBP5RIQnyn/yDeRbp99Wfv5R68kzrBNwKvmEjKvJV8RI5DsItpZ9ssv2rVviXglcQtstcem4zXzZ59Kyvv2WuD8vywbmFsLAmaXNG0o/lnSZzjKvTf24gHz99lvJt/D+GPmM/IdLX1YDrzavUWW5hC5FedMzK7msJ1+f+NPk8azXk9/4E/BlYDfz2qIv+7L5A8ud5FuWLyuZ/Ap4l3l1ze2u0v6F29iusXmRD7jcUtr9HHBNeU1+kVyQJ+D8YcqreujDOAEHkC+rtZr8tcpPyCfwjXgkdBgmNr/Z95pWddnnDZSbT5Q3v/8F3k/bnc267HMmcA/5TnJrgTuAt9Xu/xhnlYDbzWtTH+aWP5b3lz+YG8gn4NxTsuz6+mpqXqN87m1VlDc5M+AE4F/Lm/gz5KLySXJhcEa3N/Qm59XWl73I3wavJL/nPQXcCLzOvLr2ZQ6bi8CefTavBLAr+YDMt8mF+Qby+R1fAk4atryiNEaSJElSJZ7oKUmSJFVmUS5JkiRVZlEuSZIkVWZRLkmSJFVmUS5JkiRVZlEuSZIkVWZRLkmSJFVmUS5JkiRVZlEuSZIkVWZRLkmSJFVmUS5JkiRVZlEuSZIkVWZRLkmSJFVmUS5JkiRVZlEuSZIkVWZRLkmSJFVmUS5JkiRV9v8yL0KY0sMCXwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 370
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X.plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
